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Finding the Fourth Proportional to 10,531.56, 15,798.12 and 3,606

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Solution

The fourth proportional to 10,531.56, 15,798.12 and 3,606 is: 5,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.56 : 15,798.12 = 3,606 : x
  2. Step 2: Convert to fraction form
    10,531.56/15,798.12 = 3,606/x
  3. Step 3: Cross multiply
    10,531.56x = 15,798.12 × 3,606
  4. Step 4: Simplify right side
    10,531.56x = 56,968,020.72
  5. Step 5: Solve for x
    x = 56,968,020.72/10,531.56
  6. Step 6: Final answer
    x = 5,409.27

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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.