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Finding the Fourth Proportional to 8,511.42, 12,739.76 and 4,552.76

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Solution

The fourth proportional to 8,511.42, 12,739.76 and 4,552.76 is: 6,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.42 : 12,739.76 = 4,552.76 : x
  2. Step 2: Convert to fraction form
    8,511.42/12,739.76 = 4,552.76/x
  3. Step 3: Cross multiply
    8,511.42x = 12,739.76 × 4,552.76
  4. Step 4: Simplify right side
    8,511.42x = 58,001,069.74
  5. Step 5: Solve for x
    x = 58,001,069.74/8,511.42
  6. Step 6: Final answer
    x = 6,814.50

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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.