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Finding the Fourth Proportional to 10,381.72, 15,564.08 and 7,101.24

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Solution

The fourth proportional to 10,381.72, 15,564.08 and 7,101.24 is: 10,646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.72 : 15,564.08 = 7,101.24 : x
  2. Step 2: Convert to fraction form
    10,381.72/15,564.08 = 7,101.24/x
  3. Step 3: Cross multiply
    10,381.72x = 15,564.08 × 7,101.24
  4. Step 4: Simplify right side
    10,381.72x = 110,524,267.46
  5. Step 5: Solve for x
    x = 110,524,267.46/10,381.72
  6. Step 6: Final answer
    x = 10,646.05

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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.