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Finding the Fourth Proportional to 10,925.70, 15,077.48 and 6,145.92

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Solution

The fourth proportional to 10,925.70, 15,077.48 and 6,145.92 is: 8,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925.70 : 15,077.48 = 6,145.92 : x
  2. Step 2: Convert to fraction form
    10,925.70/15,077.48 = 6,145.92/x
  3. Step 3: Cross multiply
    10,925.70x = 15,077.48 × 6,145.92
  4. Step 4: Simplify right side
    10,925.70x = 92,664,985.88
  5. Step 5: Solve for x
    x = 92,664,985.88/10,925.70
  6. Step 6: Final answer
    x = 8,481.38

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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.