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Finding the Fourth Proportional to 7,882.16, 10,877.24 and 4,297.14

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Solution

The fourth proportional to 7,882.16, 10,877.24 and 4,297.14 is: 5,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.16 : 10,877.24 = 4,297.14 : x
  2. Step 2: Convert to fraction form
    7,882.16/10,877.24 = 4,297.14/x
  3. Step 3: Cross multiply
    7,882.16x = 10,877.24 × 4,297.14
  4. Step 4: Simplify right side
    7,882.16x = 46,741,001.61
  5. Step 5: Solve for x
    x = 46,741,001.61/7,882.16
  6. Step 6: Final answer
    x = 5,929.98

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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.