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Finding the Fourth Proportional to 7,882.02, 10,877.22 and 4,738.26

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Solution

The fourth proportional to 7,882.02, 10,877.22 and 4,738.26 is: 6,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.02 : 10,877.22 = 4,738.26 : x
  2. Step 2: Convert to fraction form
    7,882.02/10,877.22 = 4,738.26/x
  3. Step 3: Cross multiply
    7,882.02x = 10,877.22 × 4,738.26
  4. Step 4: Simplify right side
    7,882.02x = 51,539,096.44
  5. Step 5: Solve for x
    x = 51,539,096.44/7,882.02
  6. Step 6: Final answer
    x = 6,538.82

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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.