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Finding the Fourth Proportional to 10,062.76, 15,097.20 and 3,137.32

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Solution

The fourth proportional to 10,062.76, 15,097.20 and 3,137.32 is: 4,706.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.76 : 15,097.20 = 3,137.32 : x
  2. Step 2: Convert to fraction form
    10,062.76/15,097.20 = 3,137.32/x
  3. Step 3: Cross multiply
    10,062.76x = 15,097.20 × 3,137.32
  4. Step 4: Simplify right side
    10,062.76x = 47,364,747.50
  5. Step 5: Solve for x
    x = 47,364,747.50/10,062.76
  6. Step 6: Final answer
    x = 4,706.93

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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.