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Finding the Fourth Proportional to 7,849.28, 10,840.76 and 5,327

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Solution

The fourth proportional to 7,849.28, 10,840.76 and 5,327 is: 7,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.28 : 10,840.76 = 5,327 : x
  2. Step 2: Convert to fraction form
    7,849.28/10,840.76 = 5,327/x
  3. Step 3: Cross multiply
    7,849.28x = 10,840.76 × 5,327
  4. Step 4: Simplify right side
    7,849.28x = 57,748,728.52
  5. Step 5: Solve for x
    x = 57,748,728.52/7,849.28
  6. Step 6: Final answer
    x = 7,357.20

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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.