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Finding the Fourth Proportional to 10,049.91, 13,854.53 and 7,216.38

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Solution

The fourth proportional to 10,049.91, 13,854.53 and 7,216.38 is: 9,948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.91 : 13,854.53 = 7,216.38 : x
  2. Step 2: Convert to fraction form
    10,049.91/13,854.53 = 7,216.38/x
  3. Step 3: Cross multiply
    10,049.91x = 13,854.53 × 7,216.38
  4. Step 4: Simplify right side
    10,049.91x = 99,979,541.61
  5. Step 5: Solve for x
    x = 99,979,541.61/10,049.91
  6. Step 6: Final answer
    x = 9,948.30

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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.