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Finding the Fourth Proportional to 10,151.44, 15,158.54 and 8,306.16

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Solution

The fourth proportional to 10,151.44, 15,158.54 and 8,306.16 is: 12,403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.44 : 15,158.54 = 8,306.16 : x
  2. Step 2: Convert to fraction form
    10,151.44/15,158.54 = 8,306.16/x
  3. Step 3: Cross multiply
    10,151.44x = 15,158.54 × 8,306.16
  4. Step 4: Simplify right side
    10,151.44x = 125,909,258.61
  5. Step 5: Solve for x
    x = 125,909,258.61/10,151.44
  6. Step 6: Final answer
    x = 12,403.09

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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.