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Finding the Fourth Proportional to 7,211.02, 9,948.54 and 5,327.14

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Solution

The fourth proportional to 7,211.02, 9,948.54 and 5,327.14 is: 7,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.02 : 9,948.54 = 5,327.14 : x
  2. Step 2: Convert to fraction form
    7,211.02/9,948.54 = 5,327.14/x
  3. Step 3: Cross multiply
    7,211.02x = 9,948.54 × 5,327.14
  4. Step 4: Simplify right side
    7,211.02x = 52,997,265.38
  5. Step 5: Solve for x
    x = 52,997,265.38/7,211.02
  6. Step 6: Final answer
    x = 7,349.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.