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Finding the Fourth Proportional to 10,359, 15,538.62 and 2,567.88

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Solution

The fourth proportional to 10,359, 15,538.62 and 2,567.88 is: 3,851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359 : 15,538.62 = 2,567.88 : x
  2. Step 2: Convert to fraction form
    10,359/15,538.62 = 2,567.88/x
  3. Step 3: Cross multiply
    10,359x = 15,538.62 × 2,567.88
  4. Step 4: Simplify right side
    10,359x = 39,901,311.53
  5. Step 5: Solve for x
    x = 39,901,311.53/10,359
  6. Step 6: Final answer
    x = 3,851.85

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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.