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Finding the Fourth Proportional to 7,841.60, 11,762.40 and 2,647.40

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Solution

The fourth proportional to 7,841.60, 11,762.40 and 2,647.40 is: 3,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.60 : 11,762.40 = 2,647.40 : x
  2. Step 2: Convert to fraction form
    7,841.60/11,762.40 = 2,647.40/x
  3. Step 3: Cross multiply
    7,841.60x = 11,762.40 × 2,647.40
  4. Step 4: Simplify right side
    7,841.60x = 31,139,777.76
  5. Step 5: Solve for x
    x = 31,139,777.76/7,841.60
  6. Step 6: Final answer
    x = 3,971.10

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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.