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Finding the Fourth Proportional to 10,540.47, 15,806.02 and 5,609.07

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Solution

The fourth proportional to 10,540.47, 15,806.02 and 5,609.07 is: 8,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.47 : 15,806.02 = 5,609.07 : x
  2. Step 2: Convert to fraction form
    10,540.47/15,806.02 = 5,609.07/x
  3. Step 3: Cross multiply
    10,540.47x = 15,806.02 × 5,609.07
  4. Step 4: Simplify right side
    10,540.47x = 88,657,072.60
  5. Step 5: Solve for x
    x = 88,657,072.60/10,540.47
  6. Step 6: Final answer
    x = 8,411.11

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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.