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Finding the Fourth Proportional to 7,715.34, 11,563.73 and 3,549.61

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Solution

The fourth proportional to 7,715.34, 11,563.73 and 3,549.61 is: 5,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.34 : 11,563.73 = 3,549.61 : x
  2. Step 2: Convert to fraction form
    7,715.34/11,563.73 = 3,549.61/x
  3. Step 3: Cross multiply
    7,715.34x = 11,563.73 × 3,549.61
  4. Step 4: Simplify right side
    7,715.34x = 41,046,673.83
  5. Step 5: Solve for x
    x = 41,046,673.83/7,715.34
  6. Step 6: Final answer
    x = 5,320.14

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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.