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Finding the Fourth Proportional to 10,331.40, 15,497.10 and 7,739.40

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Solution

The fourth proportional to 10,331.40, 15,497.10 and 7,739.40 is: 11,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331.40 : 15,497.10 = 7,739.40 : x
  2. Step 2: Convert to fraction form
    10,331.40/15,497.10 = 7,739.40/x
  3. Step 3: Cross multiply
    10,331.40x = 15,497.10 × 7,739.40
  4. Step 4: Simplify right side
    10,331.40x = 119,938,255.74
  5. Step 5: Solve for x
    x = 119,938,255.74/10,331.40
  6. Step 6: Final answer
    x = 11,609.10

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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.