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Finding the Fourth Proportional to 7,510.40, 10,358.06 and 5,626.42

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Solution

The fourth proportional to 7,510.40, 10,358.06 and 5,626.42 is: 7,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,510.40 : 10,358.06 = 5,626.42 : x
  2. Step 2: Convert to fraction form
    7,510.40/10,358.06 = 5,626.42/x
  3. Step 3: Cross multiply
    7,510.40x = 10,358.06 × 5,626.42
  4. Step 4: Simplify right side
    7,510.40x = 58,278,795.95
  5. Step 5: Solve for x
    x = 58,278,795.95/7,510.40
  6. Step 6: Final answer
    x = 7,759.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.