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Finding the Fourth Proportional to 7,715.75, 11,558.14 and 3,549.95

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Solution

The fourth proportional to 7,715.75, 11,558.14 and 3,549.95 is: 5,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.75 : 11,558.14 = 3,549.95 : x
  2. Step 2: Convert to fraction form
    7,715.75/11,558.14 = 3,549.95/x
  3. Step 3: Cross multiply
    7,715.75x = 11,558.14 × 3,549.95
  4. Step 4: Simplify right side
    7,715.75x = 41,030,819.09
  5. Step 5: Solve for x
    x = 41,030,819.09/7,715.75
  6. Step 6: Final answer
    x = 5,317.80

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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.