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Finding the Fourth Proportional to 10,338.64, 15,506.67 and 3,318.10

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Solution

The fourth proportional to 10,338.64, 15,506.67 and 3,318.10 is: 4,976.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.64 : 15,506.67 = 3,318.10 : x
  2. Step 2: Convert to fraction form
    10,338.64/15,506.67 = 3,318.10/x
  3. Step 3: Cross multiply
    10,338.64x = 15,506.67 × 3,318.10
  4. Step 4: Simplify right side
    10,338.64x = 51,452,681.73
  5. Step 5: Solve for x
    x = 51,452,681.73/10,338.64
  6. Step 6: Final answer
    x = 4,976.74

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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.