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Finding the Fourth Proportional to 10,290.56, 15,345.47 and 10,197

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Solution

The fourth proportional to 10,290.56, 15,345.47 and 10,197 is: 15,205.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.56 : 15,345.47 = 10,197 : x
  2. Step 2: Convert to fraction form
    10,290.56/15,345.47 = 10,197/x
  3. Step 3: Cross multiply
    10,290.56x = 15,345.47 × 10,197
  4. Step 4: Simplify right side
    10,290.56x = 156,477,757.59
  5. Step 5: Solve for x
    x = 156,477,757.59/10,290.56
  6. Step 6: Final answer
    x = 15,205.95

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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.