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Finding the Fourth Proportional to 10,957.24, 15,122.05 and 6,482.43

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Solution

The fourth proportional to 10,957.24, 15,122.05 and 6,482.43 is: 8,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.24 : 15,122.05 = 6,482.43 : x
  2. Step 2: Convert to fraction form
    10,957.24/15,122.05 = 6,482.43/x
  3. Step 3: Cross multiply
    10,957.24x = 15,122.05 × 6,482.43
  4. Step 4: Simplify right side
    10,957.24x = 98,027,614.38
  5. Step 5: Solve for x
    x = 98,027,614.38/10,957.24
  6. Step 6: Final answer
    x = 8,946.38

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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.