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Finding the Fourth Proportional to 10,564.72, 15,863.28 and 8,598.16

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Solution

The fourth proportional to 10,564.72, 15,863.28 and 8,598.16 is: 12,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.72 : 15,863.28 = 8,598.16 : x
  2. Step 2: Convert to fraction form
    10,564.72/15,863.28 = 8,598.16/x
  3. Step 3: Cross multiply
    10,564.72x = 15,863.28 × 8,598.16
  4. Step 4: Simplify right side
    10,564.72x = 136,395,019.56
  5. Step 5: Solve for x
    x = 136,395,019.56/10,564.72
  6. Step 6: Final answer
    x = 12,910.42

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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.