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Finding the Fourth Proportional to 7,522.86, 11,230.44 and 6,538.98

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Solution

The fourth proportional to 7,522.86, 11,230.44 and 6,538.98 is: 9,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.86 : 11,230.44 = 6,538.98 : x
  2. Step 2: Convert to fraction form
    7,522.86/11,230.44 = 6,538.98/x
  3. Step 3: Cross multiply
    7,522.86x = 11,230.44 × 6,538.98
  4. Step 4: Simplify right side
    7,522.86x = 73,435,622.55
  5. Step 5: Solve for x
    x = 73,435,622.55/7,522.86
  6. Step 6: Final answer
    x = 9,761.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.