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Finding the Fourth Proportional to 10,300.64, 15,414 and 8,918.73

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Solution

The fourth proportional to 10,300.64, 15,414 and 8,918.73 is: 13,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.64 : 15,414 = 8,918.73 : x
  2. Step 2: Convert to fraction form
    10,300.64/15,414 = 8,918.73/x
  3. Step 3: Cross multiply
    10,300.64x = 15,414 × 8,918.73
  4. Step 4: Simplify right side
    10,300.64x = 137,473,304.22
  5. Step 5: Solve for x
    x = 137,473,304.22/10,300.64
  6. Step 6: Final answer
    x = 13,346.10

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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.