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Finding the Fourth Proportional to 11,747.68, 16,211.68 and 6,442.58

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Solution

The fourth proportional to 11,747.68, 16,211.68 and 6,442.58 is: 8,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.68 : 16,211.68 = 6,442.58 : x
  2. Step 2: Convert to fraction form
    11,747.68/16,211.68 = 6,442.58/x
  3. Step 3: Cross multiply
    11,747.68x = 16,211.68 × 6,442.58
  4. Step 4: Simplify right side
    11,747.68x = 104,445,069.76
  5. Step 5: Solve for x
    x = 104,445,069.76/11,747.68
  6. Step 6: Final answer
    x = 8,890.70

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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.