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Finding the Fourth Proportional to 10,145.44, 15,149.60 and 8,300.16

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Solution

The fourth proportional to 10,145.44, 15,149.60 and 8,300.16 is: 12,394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.44 : 15,149.60 = 8,300.16 : x
  2. Step 2: Convert to fraction form
    10,145.44/15,149.60 = 8,300.16/x
  3. Step 3: Cross multiply
    10,145.44x = 15,149.60 × 8,300.16
  4. Step 4: Simplify right side
    10,145.44x = 125,744,103.94
  5. Step 5: Solve for x
    x = 125,744,103.94/10,145.44
  6. Step 6: Final answer
    x = 12,394.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.