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Finding the Fourth Proportional to 11,642.92, 17,448.80 and 5,710.72

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Solution

The fourth proportional to 11,642.92, 17,448.80 and 5,710.72 is: 8,558.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.92 : 17,448.80 = 5,710.72 : x
  2. Step 2: Convert to fraction form
    11,642.92/17,448.80 = 5,710.72/x
  3. Step 3: Cross multiply
    11,642.92x = 17,448.80 × 5,710.72
  4. Step 4: Simplify right side
    11,642.92x = 99,645,211.14
  5. Step 5: Solve for x
    x = 99,645,211.14/11,642.92
  6. Step 6: Final answer
    x = 8,558.44

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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.