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Finding the Fourth Proportional to 12,560.83, 17,334.16 and 6,896.11

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Solution

The fourth proportional to 12,560.83, 17,334.16 and 6,896.11 is: 9,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,560.83 : 17,334.16 = 6,896.11 : x
  2. Step 2: Convert to fraction form
    12,560.83/17,334.16 = 6,896.11/x
  3. Step 3: Cross multiply
    12,560.83x = 17,334.16 × 6,896.11
  4. Step 4: Simplify right side
    12,560.83x = 119,538,204.69
  5. Step 5: Solve for x
    x = 119,538,204.69/12,560.83
  6. Step 6: Final answer
    x = 9,516.74

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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.