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Finding the Fourth Proportional to 7,716.34, 11,572.10 and 2,785.34

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Solution

The fourth proportional to 7,716.34, 11,572.10 and 2,785.34 is: 4,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.34 : 11,572.10 = 2,785.34 : x
  2. Step 2: Convert to fraction form
    7,716.34/11,572.10 = 2,785.34/x
  3. Step 3: Cross multiply
    7,716.34x = 11,572.10 × 2,785.34
  4. Step 4: Simplify right side
    7,716.34x = 32,232,233.01
  5. Step 5: Solve for x
    x = 32,232,233.01/7,716.34
  6. Step 6: Final answer
    x = 4,177.14

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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.