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Finding the Fourth Proportional to 10,103.76, 15,162.72 and 5,656.80

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Solution

The fourth proportional to 10,103.76, 15,162.72 and 5,656.80 is: 8,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.76 : 15,162.72 = 5,656.80 : x
  2. Step 2: Convert to fraction form
    10,103.76/15,162.72 = 5,656.80/x
  3. Step 3: Cross multiply
    10,103.76x = 15,162.72 × 5,656.80
  4. Step 4: Simplify right side
    10,103.76x = 85,772,474.50
  5. Step 5: Solve for x
    x = 85,772,474.50/10,103.76
  6. Step 6: Final answer
    x = 8,489.16

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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.