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Finding the Fourth Proportional to 12,580.47, 18,878.63 and 7,037.42

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Solution

The fourth proportional to 12,580.47, 18,878.63 and 7,037.42 is: 10,560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.47 : 18,878.63 = 7,037.42 : x
  2. Step 2: Convert to fraction form
    12,580.47/18,878.63 = 7,037.42/x
  3. Step 3: Cross multiply
    12,580.47x = 18,878.63 × 7,037.42
  4. Step 4: Simplify right side
    12,580.47x = 132,856,718.75
  5. Step 5: Solve for x
    x = 132,856,718.75/12,580.47
  6. Step 6: Final answer
    x = 10,560.55

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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.