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Finding the Fourth Proportional to 10,069.70, 15,102.24 and 3,830.40

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Solution

The fourth proportional to 10,069.70, 15,102.24 and 3,830.40 is: 5,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.70 : 15,102.24 = 3,830.40 : x
  2. Step 2: Convert to fraction form
    10,069.70/15,102.24 = 3,830.40/x
  3. Step 3: Cross multiply
    10,069.70x = 15,102.24 × 3,830.40
  4. Step 4: Simplify right side
    10,069.70x = 57,847,620.10
  5. Step 5: Solve for x
    x = 57,847,620.10/10,069.70
  6. Step 6: Final answer
    x = 5,744.72

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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.