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Finding the Fourth Proportional to 11,678.71, 17,507.64 and 4,281.44

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Solution

The fourth proportional to 11,678.71, 17,507.64 and 4,281.44 is: 6,418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.71 : 17,507.64 = 4,281.44 : x
  2. Step 2: Convert to fraction form
    11,678.71/17,507.64 = 4,281.44/x
  3. Step 3: Cross multiply
    11,678.71x = 17,507.64 × 4,281.44
  4. Step 4: Simplify right side
    11,678.71x = 74,957,937.20
  5. Step 5: Solve for x
    x = 74,957,937.20/11,678.71
  6. Step 6: Final answer
    x = 6,418.34

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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.