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Finding the Fourth Proportional to 12,865.41, 17,752.86 and 7,560.30

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Solution

The fourth proportional to 12,865.41, 17,752.86 and 7,560.30 is: 10,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.41 : 17,752.86 = 7,560.30 : x
  2. Step 2: Convert to fraction form
    12,865.41/17,752.86 = 7,560.30/x
  3. Step 3: Cross multiply
    12,865.41x = 17,752.86 × 7,560.30
  4. Step 4: Simplify right side
    12,865.41x = 134,216,947.46
  5. Step 5: Solve for x
    x = 134,216,947.46/12,865.41
  6. Step 6: Final answer
    x = 10,432.39

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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.