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Finding the Fourth Proportional to 7,802,841.60, 11,704,262.40 and 7,047,014.40

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Solution

The fourth proportional to 7,802,841.60, 11,704,262.40 and 7,047,014.40 is: 10,570,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802,841.60 : 11,704,262.40 = 7,047,014.40 : x
  2. Step 2: Convert to fraction form
    7,802,841.60/11,704,262.40 = 7,047,014.40/x
  3. Step 3: Cross multiply
    7,802,841.60x = 11,704,262.40 × 7,047,014.40
  4. Step 4: Simplify right side
    7,802,841.60x = 82,480,105,674,178.56
  5. Step 5: Solve for x
    x = 82,480,105,674,178.56/7,802,841.60
  6. Step 6: Final answer
    x = 10,570,521.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.