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Finding the Fourth Proportional to 8,501.76, 12,753.60 and 2,657.28

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Solution

The fourth proportional to 8,501.76, 12,753.60 and 2,657.28 is: 3,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501.76 : 12,753.60 = 2,657.28 : x
  2. Step 2: Convert to fraction form
    8,501.76/12,753.60 = 2,657.28/x
  3. Step 3: Cross multiply
    8,501.76x = 12,753.60 × 2,657.28
  4. Step 4: Simplify right side
    8,501.76x = 33,889,886.21
  5. Step 5: Solve for x
    x = 33,889,886.21/8,501.76
  6. Step 6: Final answer
    x = 3,986.22

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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.