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Finding the Fourth Proportional to 7,522.72, 10,381.71 and 4,538.49

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Solution

The fourth proportional to 7,522.72, 10,381.71 and 4,538.49 is: 6,263.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.72 : 10,381.71 = 4,538.49 : x
  2. Step 2: Convert to fraction form
    7,522.72/10,381.71 = 4,538.49/x
  3. Step 3: Cross multiply
    7,522.72x = 10,381.71 × 4,538.49
  4. Step 4: Simplify right side
    7,522.72x = 47,117,287.02
  5. Step 5: Solve for x
    x = 47,117,287.02/7,522.72
  6. Step 6: Final answer
    x = 6,263.33

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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.