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Finding the Fourth Proportional to 7,097.67, 10,653.77 and 5,861.14

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Solution

The fourth proportional to 7,097.67, 10,653.77 and 5,861.14 is: 8,797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.67 : 10,653.77 = 5,861.14 : x
  2. Step 2: Convert to fraction form
    7,097.67/10,653.77 = 5,861.14/x
  3. Step 3: Cross multiply
    7,097.67x = 10,653.77 × 5,861.14
  4. Step 4: Simplify right side
    7,097.67x = 62,443,225.52
  5. Step 5: Solve for x
    x = 62,443,225.52/7,097.67
  6. Step 6: Final answer
    x = 8,797.71

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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.