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Finding the Fourth Proportional to 7,622.74, 11,434.10 and 5,006.76

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Solution

The fourth proportional to 7,622.74, 11,434.10 and 5,006.76 is: 7,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622.74 : 11,434.10 = 5,006.76 : x
  2. Step 2: Convert to fraction form
    7,622.74/11,434.10 = 5,006.76/x
  3. Step 3: Cross multiply
    7,622.74x = 11,434.10 × 5,006.76
  4. Step 4: Simplify right side
    7,622.74x = 57,247,794.52
  5. Step 5: Solve for x
    x = 57,247,794.52/7,622.74
  6. Step 6: Final answer
    x = 7,510.13

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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.