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Finding the Fourth Proportional to 6,886.27, 10,330.13 and 2,204.60

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Solution

The fourth proportional to 6,886.27, 10,330.13 and 2,204.60 is: 3,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.27 : 10,330.13 = 2,204.60 : x
  2. Step 2: Convert to fraction form
    6,886.27/10,330.13 = 2,204.60/x
  3. Step 3: Cross multiply
    6,886.27x = 10,330.13 × 2,204.60
  4. Step 4: Simplify right side
    6,886.27x = 22,773,816.57
  5. Step 5: Solve for x
    x = 22,773,816.57/6,886.27
  6. Step 6: Final answer
    x = 3,307.14

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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.