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Finding the Fourth Proportional to 7,711.40, 11,573.34 and 4,381.76

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Solution

The fourth proportional to 7,711.40, 11,573.34 and 4,381.76 is: 6,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.40 : 11,573.34 = 4,381.76 : x
  2. Step 2: Convert to fraction form
    7,711.40/11,573.34 = 4,381.76/x
  3. Step 3: Cross multiply
    7,711.40x = 11,573.34 × 4,381.76
  4. Step 4: Simplify right side
    7,711.40x = 50,711,598.28
  5. Step 5: Solve for x
    x = 50,711,598.28/7,711.40
  6. Step 6: Final answer
    x = 6,576.19

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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.