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Finding the Fourth Proportional to 11,440.67, 15,788.39 and 6,404.76

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Solution

The fourth proportional to 11,440.67, 15,788.39 and 6,404.76 is: 8,838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440.67 : 15,788.39 = 6,404.76 : x
  2. Step 2: Convert to fraction form
    11,440.67/15,788.39 = 6,404.76/x
  3. Step 3: Cross multiply
    11,440.67x = 15,788.39 × 6,404.76
  4. Step 4: Simplify right side
    11,440.67x = 101,120,848.74
  5. Step 5: Solve for x
    x = 101,120,848.74/11,440.67
  6. Step 6: Final answer
    x = 8,838.72

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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.