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Finding the Fourth Proportional to 11,678.84, 17,508.62 and 5,442.76

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Solution

The fourth proportional to 11,678.84, 17,508.62 and 5,442.76 is: 8,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.84 : 17,508.62 = 5,442.76 : x
  2. Step 2: Convert to fraction form
    11,678.84/17,508.62 = 5,442.76/x
  3. Step 3: Cross multiply
    11,678.84x = 17,508.62 × 5,442.76
  4. Step 4: Simplify right side
    11,678.84x = 95,295,216.59
  5. Step 5: Solve for x
    x = 95,295,216.59/11,678.84
  6. Step 6: Final answer
    x = 8,159.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.