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Finding the Fourth Proportional to 10,769, 14,862.17 and 6,053.32

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Solution

The fourth proportional to 10,769, 14,862.17 and 6,053.32 is: 8,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769 : 14,862.17 = 6,053.32 : x
  2. Step 2: Convert to fraction form
    10,769/14,862.17 = 6,053.32/x
  3. Step 3: Cross multiply
    10,769x = 14,862.17 × 6,053.32
  4. Step 4: Simplify right side
    10,769x = 89,965,470.90
  5. Step 5: Solve for x
    x = 89,965,470.90/10,769
  6. Step 6: Final answer
    x = 8,354.12

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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.