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Finding the Fourth Proportional to 7,156.74, 9,882.90 and 5,385.36

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Solution

The fourth proportional to 7,156.74, 9,882.90 and 5,385.36 is: 7,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.74 : 9,882.90 = 5,385.36 : x
  2. Step 2: Convert to fraction form
    7,156.74/9,882.90 = 5,385.36/x
  3. Step 3: Cross multiply
    7,156.74x = 9,882.90 × 5,385.36
  4. Step 4: Simplify right side
    7,156.74x = 53,222,974.34
  5. Step 5: Solve for x
    x = 53,222,974.34/7,156.74
  6. Step 6: Final answer
    x = 7,436.76

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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.