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Finding the Fourth Proportional to 10,999.52, 15,178.40 and 6,282.88

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Solution

The fourth proportional to 10,999.52, 15,178.40 and 6,282.88 is: 8,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.52 : 15,178.40 = 6,282.88 : x
  2. Step 2: Convert to fraction form
    10,999.52/15,178.40 = 6,282.88/x
  3. Step 3: Cross multiply
    10,999.52x = 15,178.40 × 6,282.88
  4. Step 4: Simplify right side
    10,999.52x = 95,364,065.79
  5. Step 5: Solve for x
    x = 95,364,065.79/10,999.52
  6. Step 6: Final answer
    x = 8,669.84

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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.