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Finding the Fourth Proportional to 7,672.70, 11,528.51 and 7,156.73

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Solution

The fourth proportional to 7,672.70, 11,528.51 and 7,156.73 is: 10,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.70 : 11,528.51 = 7,156.73 : x
  2. Step 2: Convert to fraction form
    7,672.70/11,528.51 = 7,156.73/x
  3. Step 3: Cross multiply
    7,672.70x = 11,528.51 × 7,156.73
  4. Step 4: Simplify right side
    7,672.70x = 82,506,433.37
  5. Step 5: Solve for x
    x = 82,506,433.37/7,672.70
  6. Step 6: Final answer
    x = 10,753.25

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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.