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Finding the Fourth Proportional to 7,882.14, 10,869.56 and 6,690.38

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Solution

The fourth proportional to 7,882.14, 10,869.56 and 6,690.38 is: 9,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.14 : 10,869.56 = 6,690.38 : x
  2. Step 2: Convert to fraction form
    7,882.14/10,869.56 = 6,690.38/x
  3. Step 3: Cross multiply
    7,882.14x = 10,869.56 × 6,690.38
  4. Step 4: Simplify right side
    7,882.14x = 72,721,486.83
  5. Step 5: Solve for x
    x = 72,721,486.83/7,882.14
  6. Step 6: Final answer
    x = 9,226.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.