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Finding the Fourth Proportional to 8,151.84, 11,248.47 and 4,615.38

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Solution

The fourth proportional to 8,151.84, 11,248.47 and 4,615.38 is: 6,368.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.84 : 11,248.47 = 4,615.38 : x
  2. Step 2: Convert to fraction form
    8,151.84/11,248.47 = 4,615.38/x
  3. Step 3: Cross multiply
    8,151.84x = 11,248.47 × 4,615.38
  4. Step 4: Simplify right side
    8,151.84x = 51,915,963.47
  5. Step 5: Solve for x
    x = 51,915,963.47/8,151.84
  6. Step 6: Final answer
    x = 6,368.62

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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.