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Finding the Fourth Proportional to 7,241.38, 9,987.63 and 5,006.99

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Solution

The fourth proportional to 7,241.38, 9,987.63 and 5,006.99 is: 6,905.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.38 : 9,987.63 = 5,006.99 : x
  2. Step 2: Convert to fraction form
    7,241.38/9,987.63 = 5,006.99/x
  3. Step 3: Cross multiply
    7,241.38x = 9,987.63 × 5,006.99
  4. Step 4: Simplify right side
    7,241.38x = 50,007,963.53
  5. Step 5: Solve for x
    x = 50,007,963.53/7,241.38
  6. Step 6: Final answer
    x = 6,905.86

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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.