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Finding the Fourth Proportional to 10,999.24, 15,178.50 and 6,031.24

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Solution

The fourth proportional to 10,999.24, 15,178.50 and 6,031.24 is: 8,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.24 : 15,178.50 = 6,031.24 : x
  2. Step 2: Convert to fraction form
    10,999.24/15,178.50 = 6,031.24/x
  3. Step 3: Cross multiply
    10,999.24x = 15,178.50 × 6,031.24
  4. Step 4: Simplify right side
    10,999.24x = 91,545,176.34
  5. Step 5: Solve for x
    x = 91,545,176.34/10,999.24
  6. Step 6: Final answer
    x = 8,322.86

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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.