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Finding the Fourth Proportional to 7,135.68, 9,849.48 and 5,010.24

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Solution

The fourth proportional to 7,135.68, 9,849.48 and 5,010.24 is: 6,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.68 : 9,849.48 = 5,010.24 : x
  2. Step 2: Convert to fraction form
    7,135.68/9,849.48 = 5,010.24/x
  3. Step 3: Cross multiply
    7,135.68x = 9,849.48 × 5,010.24
  4. Step 4: Simplify right side
    7,135.68x = 49,348,258.68
  5. Step 5: Solve for x
    x = 49,348,258.68/7,135.68
  6. Step 6: Final answer
    x = 6,915.71

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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.