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Finding the Fourth Proportional to 10,838.52, 14,957.19 and 6,122.70

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Solution

The fourth proportional to 10,838.52, 14,957.19 and 6,122.70 is: 8,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.52 : 14,957.19 = 6,122.70 : x
  2. Step 2: Convert to fraction form
    10,838.52/14,957.19 = 6,122.70/x
  3. Step 3: Cross multiply
    10,838.52x = 14,957.19 × 6,122.70
  4. Step 4: Simplify right side
    10,838.52x = 91,578,387.21
  5. Step 5: Solve for x
    x = 91,578,387.21/10,838.52
  6. Step 6: Final answer
    x = 8,449.34

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