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Finding the Fourth Proportional to 10,902.56, 15,045.08 and 6,186.74

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Solution

The fourth proportional to 10,902.56, 15,045.08 and 6,186.74 is: 8,537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.56 : 15,045.08 = 6,186.74 : x
  2. Step 2: Convert to fraction form
    10,902.56/15,045.08 = 6,186.74/x
  3. Step 3: Cross multiply
    10,902.56x = 15,045.08 × 6,186.74
  4. Step 4: Simplify right side
    10,902.56x = 93,079,998.24
  5. Step 5: Solve for x
    x = 93,079,998.24/10,902.56
  6. Step 6: Final answer
    x = 8,537.44

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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.