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Finding the Fourth Proportional to 7,171.49, 9,887.28 and 5,182.52

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Solution

The fourth proportional to 7,171.49, 9,887.28 and 5,182.52 is: 7,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.49 : 9,887.28 = 5,182.52 : x
  2. Step 2: Convert to fraction form
    7,171.49/9,887.28 = 5,182.52/x
  3. Step 3: Cross multiply
    7,171.49x = 9,887.28 × 5,182.52
  4. Step 4: Simplify right side
    7,171.49x = 51,241,026.35
  5. Step 5: Solve for x
    x = 51,241,026.35/7,171.49
  6. Step 6: Final answer
    x = 7,145.10

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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.