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Finding the Fourth Proportional to 7,809.41, 11,710.02 and 5,344.94

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Solution

The fourth proportional to 7,809.41, 11,710.02 and 5,344.94 is: 8,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.41 : 11,710.02 = 5,344.94 : x
  2. Step 2: Convert to fraction form
    7,809.41/11,710.02 = 5,344.94/x
  3. Step 3: Cross multiply
    7,809.41x = 11,710.02 × 5,344.94
  4. Step 4: Simplify right side
    7,809.41x = 62,589,307.68
  5. Step 5: Solve for x
    x = 62,589,307.68/7,809.41
  6. Step 6: Final answer
    x = 8,014.60

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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.