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Finding the Fourth Proportional to 7,146.58, 10,711.58 and 4,227.34

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Solution

The fourth proportional to 7,146.58, 10,711.58 and 4,227.34 is: 6,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.58 : 10,711.58 = 4,227.34 : x
  2. Step 2: Convert to fraction form
    7,146.58/10,711.58 = 4,227.34/x
  3. Step 3: Cross multiply
    7,146.58x = 10,711.58 × 4,227.34
  4. Step 4: Simplify right side
    7,146.58x = 45,281,490.60
  5. Step 5: Solve for x
    x = 45,281,490.60/7,146.58
  6. Step 6: Final answer
    x = 6,336.11

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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.