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Finding the Fourth Proportional to 12,560.10, 17,335.34 and 8,311.24

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Solution

The fourth proportional to 12,560.10, 17,335.34 and 8,311.24 is: 11,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,560.10 : 17,335.34 = 8,311.24 : x
  2. Step 2: Convert to fraction form
    12,560.10/17,335.34 = 8,311.24/x
  3. Step 3: Cross multiply
    12,560.10x = 17,335.34 × 8,311.24
  4. Step 4: Simplify right side
    12,560.10x = 144,078,171.22
  5. Step 5: Solve for x
    x = 144,078,171.22/12,560.10
  6. Step 6: Final answer
    x = 11,471.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.