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Finding the Fourth Proportional to 7,266.46, 10,874.98 and 6,097.77

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Solution

The fourth proportional to 7,266.46, 10,874.98 and 6,097.77 is: 9,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.46 : 10,874.98 = 6,097.77 : x
  2. Step 2: Convert to fraction form
    7,266.46/10,874.98 = 6,097.77/x
  3. Step 3: Cross multiply
    7,266.46x = 10,874.98 × 6,097.77
  4. Step 4: Simplify right side
    7,266.46x = 66,313,126.79
  5. Step 5: Solve for x
    x = 66,313,126.79/7,266.46
  6. Step 6: Final answer
    x = 9,125.92

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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.