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Finding the Fourth Proportional to 15,860.16, 23,774.04 and 5,463

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Solution

The fourth proportional to 15,860.16, 23,774.04 and 5,463 is: 8,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,860.16 : 23,774.04 = 5,463 : x
  2. Step 2: Convert to fraction form
    15,860.16/23,774.04 = 5,463/x
  3. Step 3: Cross multiply
    15,860.16x = 23,774.04 × 5,463
  4. Step 4: Simplify right side
    15,860.16x = 129,877,580.52
  5. Step 5: Solve for x
    x = 129,877,580.52/15,860.16
  6. Step 6: Final answer
    x = 8,188.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.