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Finding the Fourth Proportional to 12,562.61, 17,335.64 and 6,896.26

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Solution

The fourth proportional to 12,562.61, 17,335.64 and 6,896.26 is: 9,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.61 : 17,335.64 = 6,896.26 : x
  2. Step 2: Convert to fraction form
    12,562.61/17,335.64 = 6,896.26/x
  3. Step 3: Cross multiply
    12,562.61x = 17,335.64 × 6,896.26
  4. Step 4: Simplify right side
    12,562.61x = 119,550,959.55
  5. Step 5: Solve for x
    x = 119,550,959.55/12,562.61
  6. Step 6: Final answer
    x = 9,516.41

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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.