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Finding the Fourth Proportional to 10,660.55, 14,711.36 and 6,184.71

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Solution

The fourth proportional to 10,660.55, 14,711.36 and 6,184.71 is: 8,534.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.55 : 14,711.36 = 6,184.71 : x
  2. Step 2: Convert to fraction form
    10,660.55/14,711.36 = 6,184.71/x
  3. Step 3: Cross multiply
    10,660.55x = 14,711.36 × 6,184.71
  4. Step 4: Simplify right side
    10,660.55x = 90,985,464.38
  5. Step 5: Solve for x
    x = 90,985,464.38/10,660.55
  6. Step 6: Final answer
    x = 8,534.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.