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Finding the Fourth Proportional to 10,586.46, 15,882.04 and 3,565.92

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Solution

The fourth proportional to 10,586.46, 15,882.04 and 3,565.92 is: 5,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.46 : 15,882.04 = 3,565.92 : x
  2. Step 2: Convert to fraction form
    10,586.46/15,882.04 = 3,565.92/x
  3. Step 3: Cross multiply
    10,586.46x = 15,882.04 × 3,565.92
  4. Step 4: Simplify right side
    10,586.46x = 56,634,148.09
  5. Step 5: Solve for x
    x = 56,634,148.09/10,586.46
  6. Step 6: Final answer
    x = 5,349.68

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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.