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Finding the Fourth Proportional to 8,501.60, 12,754.92 and 4,062.58

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Solution

The fourth proportional to 8,501.60, 12,754.92 and 4,062.58 is: 6,095.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501.60 : 12,754.92 = 4,062.58 : x
  2. Step 2: Convert to fraction form
    8,501.60/12,754.92 = 4,062.58/x
  3. Step 3: Cross multiply
    8,501.60x = 12,754.92 × 4,062.58
  4. Step 4: Simplify right side
    8,501.60x = 51,817,882.89
  5. Step 5: Solve for x
    x = 51,817,882.89/8,501.60
  6. Step 6: Final answer
    x = 6,095.07

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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.