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Finding the Fourth Proportional to 10,722.87, 14,798.52 and 6,007.14

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Solution

The fourth proportional to 10,722.87, 14,798.52 and 6,007.14 is: 8,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.87 : 14,798.52 = 6,007.14 : x
  2. Step 2: Convert to fraction form
    10,722.87/14,798.52 = 6,007.14/x
  3. Step 3: Cross multiply
    10,722.87x = 14,798.52 × 6,007.14
  4. Step 4: Simplify right side
    10,722.87x = 88,896,781.43
  5. Step 5: Solve for x
    x = 88,896,781.43/10,722.87
  6. Step 6: Final answer
    x = 8,290.39

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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.