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Finding the Fourth Proportional to 6,882.06, 10,312.34 and 5,024.64

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Solution

The fourth proportional to 6,882.06, 10,312.34 and 5,024.64 is: 7,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.06 : 10,312.34 = 5,024.64 : x
  2. Step 2: Convert to fraction form
    6,882.06/10,312.34 = 5,024.64/x
  3. Step 3: Cross multiply
    6,882.06x = 10,312.34 × 5,024.64
  4. Step 4: Simplify right side
    6,882.06x = 51,815,770.93
  5. Step 5: Solve for x
    x = 51,815,770.93/6,882.06
  6. Step 6: Final answer
    x = 7,529.11

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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.