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Finding the Fourth Proportional to 10,493.28, 14,480.10 and 6,244.65

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Solution

The fourth proportional to 10,493.28, 14,480.10 and 6,244.65 is: 8,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.28 : 14,480.10 = 6,244.65 : x
  2. Step 2: Convert to fraction form
    10,493.28/14,480.10 = 6,244.65/x
  3. Step 3: Cross multiply
    10,493.28x = 14,480.10 × 6,244.65
  4. Step 4: Simplify right side
    10,493.28x = 90,423,156.47
  5. Step 5: Solve for x
    x = 90,423,156.47/10,493.28
  6. Step 6: Final answer
    x = 8,617.24

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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.