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Finding the Fourth Proportional to 8,842.14, 13,264.70 and 2,920.41

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Solution

The fourth proportional to 8,842.14, 13,264.70 and 2,920.41 is: 4,381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.14 : 13,264.70 = 2,920.41 : x
  2. Step 2: Convert to fraction form
    8,842.14/13,264.70 = 2,920.41/x
  3. Step 3: Cross multiply
    8,842.14x = 13,264.70 × 2,920.41
  4. Step 4: Simplify right side
    8,842.14x = 38,738,347.92
  5. Step 5: Solve for x
    x = 38,738,347.92/8,842.14
  6. Step 6: Final answer
    x = 4,381.11

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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.