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Finding the Fourth Proportional to 8,281.95, 11,411.78 and 5,624.74

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Solution

The fourth proportional to 8,281.95, 11,411.78 and 5,624.74 is: 7,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.95 : 11,411.78 = 5,624.74 : x
  2. Step 2: Convert to fraction form
    8,281.95/11,411.78 = 5,624.74/x
  3. Step 3: Cross multiply
    8,281.95x = 11,411.78 × 5,624.74
  4. Step 4: Simplify right side
    8,281.95x = 64,188,295.44
  5. Step 5: Solve for x
    x = 64,188,295.44/8,281.95
  6. Step 6: Final answer
    x = 7,750.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.