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Finding the Fourth Proportional to 8,493, 11,715.26 and 5,343.72

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Solution

The fourth proportional to 8,493, 11,715.26 and 5,343.72 is: 7,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493 : 11,715.26 = 5,343.72 : x
  2. Step 2: Convert to fraction form
    8,493/11,715.26 = 5,343.72/x
  3. Step 3: Cross multiply
    8,493x = 11,715.26 × 5,343.72
  4. Step 4: Simplify right side
    8,493x = 62,603,069.17
  5. Step 5: Solve for x
    x = 62,603,069.17/8,493
  6. Step 6: Final answer
    x = 7,371.14

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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.