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Finding the Fourth Proportional to 11,246.57, 16,834.48 and 7,715.93

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Solution

The fourth proportional to 11,246.57, 16,834.48 and 7,715.93 is: 11,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,246.57 : 16,834.48 = 7,715.93 : x
  2. Step 2: Convert to fraction form
    11,246.57/16,834.48 = 7,715.93/x
  3. Step 3: Cross multiply
    11,246.57x = 16,834.48 × 7,715.93
  4. Step 4: Simplify right side
    11,246.57x = 129,893,669.27
  5. Step 5: Solve for x
    x = 129,893,669.27/11,246.57
  6. Step 6: Final answer
    x = 11,549.63

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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.