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Finding the Fourth Proportional to 10,975.50, 15,141.80 and 6,497.62

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Solution

The fourth proportional to 10,975.50, 15,141.80 and 6,497.62 is: 8,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.50 : 15,141.80 = 6,497.62 : x
  2. Step 2: Convert to fraction form
    10,975.50/15,141.80 = 6,497.62/x
  3. Step 3: Cross multiply
    10,975.50x = 15,141.80 × 6,497.62
  4. Step 4: Simplify right side
    10,975.50x = 98,385,640.91
  5. Step 5: Solve for x
    x = 98,385,640.91/10,975.50
  6. Step 6: Final answer
    x = 8,964.11

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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.