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Finding the Fourth Proportional to 7,057.64, 10,572.11 and 5,663.43

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Solution

The fourth proportional to 7,057.64, 10,572.11 and 5,663.43 is: 8,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.64 : 10,572.11 = 5,663.43 : x
  2. Step 2: Convert to fraction form
    7,057.64/10,572.11 = 5,663.43/x
  3. Step 3: Cross multiply
    7,057.64x = 10,572.11 × 5,663.43
  4. Step 4: Simplify right side
    7,057.64x = 59,874,397.86
  5. Step 5: Solve for x
    x = 59,874,397.86/7,057.64
  6. Step 6: Final answer
    x = 8,483.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.