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Finding the Fourth Proportional to 11,872.47, 16,377.16 and 7,557.58

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Solution

The fourth proportional to 11,872.47, 16,377.16 and 7,557.58 is: 10,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.47 : 16,377.16 = 7,557.58 : x
  2. Step 2: Convert to fraction form
    11,872.47/16,377.16 = 7,557.58/x
  3. Step 3: Cross multiply
    11,872.47x = 16,377.16 × 7,557.58
  4. Step 4: Simplify right side
    11,872.47x = 123,771,655.93
  5. Step 5: Solve for x
    x = 123,771,655.93/11,872.47
  6. Step 6: Final answer
    x = 10,425.10

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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.