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Finding the Fourth Proportional to 11,563.85, 17,332.11 and 5,318.14

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Solution

The fourth proportional to 11,563.85, 17,332.11 and 5,318.14 is: 7,970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.85 : 17,332.11 = 5,318.14 : x
  2. Step 2: Convert to fraction form
    11,563.85/17,332.11 = 5,318.14/x
  3. Step 3: Cross multiply
    11,563.85x = 17,332.11 × 5,318.14
  4. Step 4: Simplify right side
    11,563.85x = 92,174,587.48
  5. Step 5: Solve for x
    x = 92,174,587.48/11,563.85
  6. Step 6: Final answer
    x = 7,970.93

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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.