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Finding the Fourth Proportional to 7,101.50, 10,640.46 and 4,319.76

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Solution

The fourth proportional to 7,101.50, 10,640.46 and 4,319.76 is: 6,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.50 : 10,640.46 = 4,319.76 : x
  2. Step 2: Convert to fraction form
    7,101.50/10,640.46 = 4,319.76/x
  3. Step 3: Cross multiply
    7,101.50x = 10,640.46 × 4,319.76
  4. Step 4: Simplify right side
    7,101.50x = 45,964,233.49
  5. Step 5: Solve for x
    x = 45,964,233.49/7,101.50
  6. Step 6: Final answer
    x = 6,472.47

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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.