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Finding the Fourth Proportional to 11,948.88, 16,489.54 and 7,475.18

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Solution

The fourth proportional to 11,948.88, 16,489.54 and 7,475.18 is: 10,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.88 : 16,489.54 = 7,475.18 : x
  2. Step 2: Convert to fraction form
    11,948.88/16,489.54 = 7,475.18/x
  3. Step 3: Cross multiply
    11,948.88x = 16,489.54 × 7,475.18
  4. Step 4: Simplify right side
    11,948.88x = 123,262,197.17
  5. Step 5: Solve for x
    x = 123,262,197.17/11,948.88
  6. Step 6: Final answer
    x = 10,315.80

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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.