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Finding the Fourth Proportional to 7,882.06, 10,877.10 and 4,297.05

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Solution

The fourth proportional to 7,882.06, 10,877.10 and 4,297.05 is: 5,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.06 : 10,877.10 = 4,297.05 : x
  2. Step 2: Convert to fraction form
    7,882.06/10,877.10 = 4,297.05/x
  3. Step 3: Cross multiply
    7,882.06x = 10,877.10 × 4,297.05
  4. Step 4: Simplify right side
    7,882.06x = 46,739,442.56
  5. Step 5: Solve for x
    x = 46,739,442.56/7,882.06
  6. Step 6: Final answer
    x = 5,929.85

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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.