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Finding the Fourth Proportional to 6,818.96, 10,225.92 and 6,775.16

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Solution

The fourth proportional to 6,818.96, 10,225.92 and 6,775.16 is: 10,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.96 : 10,225.92 = 6,775.16 : x
  2. Step 2: Convert to fraction form
    6,818.96/10,225.92 = 6,775.16/x
  3. Step 3: Cross multiply
    6,818.96x = 10,225.92 × 6,775.16
  4. Step 4: Simplify right side
    6,818.96x = 69,282,244.15
  5. Step 5: Solve for x
    x = 69,282,244.15/6,818.96
  6. Step 6: Final answer
    x = 10,160.24

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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.