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Finding the Fourth Proportional to 7,522.57, 10,376.62 and 5,538.25

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Solution

The fourth proportional to 7,522.57, 10,376.62 and 5,538.25 is: 7,639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.57 : 10,376.62 = 5,538.25 : x
  2. Step 2: Convert to fraction form
    7,522.57/10,376.62 = 5,538.25/x
  3. Step 3: Cross multiply
    7,522.57x = 10,376.62 × 5,538.25
  4. Step 4: Simplify right side
    7,522.57x = 57,468,315.72
  5. Step 5: Solve for x
    x = 57,468,315.72/7,522.57
  6. Step 6: Final answer
    x = 7,639.45

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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.