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Finding the Fourth Proportional to 8,159.54, 12,234.80 and 2,535.68

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Solution

The fourth proportional to 8,159.54, 12,234.80 and 2,535.68 is: 3,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.54 : 12,234.80 = 2,535.68 : x
  2. Step 2: Convert to fraction form
    8,159.54/12,234.80 = 2,535.68/x
  3. Step 3: Cross multiply
    8,159.54x = 12,234.80 × 2,535.68
  4. Step 4: Simplify right side
    8,159.54x = 31,023,463.81
  5. Step 5: Solve for x
    x = 31,023,463.81/8,159.54
  6. Step 6: Final answer
    x = 3,802.11

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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.