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Finding the Fourth Proportional to 10,565.88, 15,833.70 and 5,939.16

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Solution

The fourth proportional to 10,565.88, 15,833.70 and 5,939.16 is: 8,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.88 : 15,833.70 = 5,939.16 : x
  2. Step 2: Convert to fraction form
    10,565.88/15,833.70 = 5,939.16/x
  3. Step 3: Cross multiply
    10,565.88x = 15,833.70 × 5,939.16
  4. Step 4: Simplify right side
    10,565.88x = 94,038,877.69
  5. Step 5: Solve for x
    x = 94,038,877.69/10,565.88
  6. Step 6: Final answer
    x = 8,900.24

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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.