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Finding the Fourth Proportional to 10,077.54, 15,087.15 and 8,415.42

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Solution

The fourth proportional to 10,077.54, 15,087.15 and 8,415.42 is: 12,598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.54 : 15,087.15 = 8,415.42 : x
  2. Step 2: Convert to fraction form
    10,077.54/15,087.15 = 8,415.42/x
  3. Step 3: Cross multiply
    10,077.54x = 15,087.15 × 8,415.42
  4. Step 4: Simplify right side
    10,077.54x = 126,964,703.85
  5. Step 5: Solve for x
    x = 126,964,703.85/10,077.54
  6. Step 6: Final answer
    x = 12,598.78

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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.