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Finding the Fourth Proportional to 10,077.14, 15,107.04 and 4,450.55

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Solution

The fourth proportional to 10,077.14, 15,107.04 and 4,450.55 is: 6,671.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.14 : 15,107.04 = 4,450.55 : x
  2. Step 2: Convert to fraction form
    10,077.14/15,107.04 = 4,450.55/x
  3. Step 3: Cross multiply
    10,077.14x = 15,107.04 × 4,450.55
  4. Step 4: Simplify right side
    10,077.14x = 67,234,561.34
  5. Step 5: Solve for x
    x = 67,234,561.34/10,077.14
  6. Step 6: Final answer
    x = 6,671.99

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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.