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Finding the Fourth Proportional to 11,454.30, 15,807.02 and 6,418.73

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Solution

The fourth proportional to 11,454.30, 15,807.02 and 6,418.73 is: 8,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.30 : 15,807.02 = 6,418.73 : x
  2. Step 2: Convert to fraction form
    11,454.30/15,807.02 = 6,418.73/x
  3. Step 3: Cross multiply
    11,454.30x = 15,807.02 × 6,418.73
  4. Step 4: Simplify right side
    11,454.30x = 101,461,000.91
  5. Step 5: Solve for x
    x = 101,461,000.91/11,454.30
  6. Step 6: Final answer
    x = 8,857.90

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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.