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Finding the Fourth Proportional to 12,516.12, 17,268.86 and 7,478.10

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Solution

The fourth proportional to 12,516.12, 17,268.86 and 7,478.10 is: 10,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,516.12 : 17,268.86 = 7,478.10 : x
  2. Step 2: Convert to fraction form
    12,516.12/17,268.86 = 7,478.10/x
  3. Step 3: Cross multiply
    12,516.12x = 17,268.86 × 7,478.10
  4. Step 4: Simplify right side
    12,516.12x = 129,138,261.97
  5. Step 5: Solve for x
    x = 129,138,261.97/12,516.12
  6. Step 6: Final answer
    x = 10,317.76

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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.