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Finding the Fourth Proportional to 10,660.85, 14,711.31 and 6,184.38

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Solution

The fourth proportional to 10,660.85, 14,711.31 and 6,184.38 is: 8,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.85 : 14,711.31 = 6,184.38 : x
  2. Step 2: Convert to fraction form
    10,660.85/14,711.31 = 6,184.38/x
  3. Step 3: Cross multiply
    10,660.85x = 14,711.31 × 6,184.38
  4. Step 4: Simplify right side
    10,660.85x = 90,980,331.34
  5. Step 5: Solve for x
    x = 90,980,331.34/10,660.85
  6. Step 6: Final answer
    x = 8,534.06

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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.