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Finding the Fourth Proportional to 10,902.91, 15,042.08 and 6,184.46

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Solution

The fourth proportional to 10,902.91, 15,042.08 and 6,184.46 is: 8,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.91 : 15,042.08 = 6,184.46 : x
  2. Step 2: Convert to fraction form
    10,902.91/15,042.08 = 6,184.46/x
  3. Step 3: Cross multiply
    10,902.91x = 15,042.08 × 6,184.46
  4. Step 4: Simplify right side
    10,902.91x = 93,027,035.94
  5. Step 5: Solve for x
    x = 93,027,035.94/10,902.91
  6. Step 6: Final answer
    x = 8,532.32

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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.