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Finding the Fourth Proportional to 11,878.24, 17,805.84 and 5,718.88

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Solution

The fourth proportional to 11,878.24, 17,805.84 and 5,718.88 is: 8,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.24 : 17,805.84 = 5,718.88 : x
  2. Step 2: Convert to fraction form
    11,878.24/17,805.84 = 5,718.88/x
  3. Step 3: Cross multiply
    11,878.24x = 17,805.84 × 5,718.88
  4. Step 4: Simplify right side
    11,878.24x = 101,829,462.26
  5. Step 5: Solve for x
    x = 101,829,462.26/11,878.24
  6. Step 6: Final answer
    x = 8,572.77

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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.