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Finding the Fourth Proportional to 10,902.30, 15,045.51 and 6,186.78

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Solution

The fourth proportional to 10,902.30, 15,045.51 and 6,186.78 is: 8,537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.30 : 15,045.51 = 6,186.78 : x
  2. Step 2: Convert to fraction form
    10,902.30/15,045.51 = 6,186.78/x
  3. Step 3: Cross multiply
    10,902.30x = 15,045.51 × 6,186.78
  4. Step 4: Simplify right side
    10,902.30x = 93,083,260.36
  5. Step 5: Solve for x
    x = 93,083,260.36/10,902.30
  6. Step 6: Final answer
    x = 8,537.95

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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.