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Finding the Fourth Proportional to 10,077.84, 13,920.72 and 8,404.72

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Solution

The fourth proportional to 10,077.84, 13,920.72 and 8,404.72 is: 11,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.84 : 13,920.72 = 8,404.72 : x
  2. Step 2: Convert to fraction form
    10,077.84/13,920.72 = 8,404.72/x
  3. Step 3: Cross multiply
    10,077.84x = 13,920.72 × 8,404.72
  4. Step 4: Simplify right side
    10,077.84x = 116,999,753.80
  5. Step 5: Solve for x
    x = 116,999,753.80/10,077.84
  6. Step 6: Final answer
    x = 11,609.61

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