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Finding the Fourth Proportional to 8,535.76, 12,799.56 and 4,377.76

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Solution

The fourth proportional to 8,535.76, 12,799.56 and 4,377.76 is: 6,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.76 : 12,799.56 = 4,377.76 : x
  2. Step 2: Convert to fraction form
    8,535.76/12,799.56 = 4,377.76/x
  3. Step 3: Cross multiply
    8,535.76x = 12,799.56 × 4,377.76
  4. Step 4: Simplify right side
    8,535.76x = 56,033,401.79
  5. Step 5: Solve for x
    x = 56,033,401.79/8,535.76
  6. Step 6: Final answer
    x = 6,564.55

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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.