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Finding the Fourth Proportional to 12,761.40, 17,606.32 and 7,978.08

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Solution

The fourth proportional to 12,761.40, 17,606.32 and 7,978.08 is: 11,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.40 : 17,606.32 = 7,978.08 : x
  2. Step 2: Convert to fraction form
    12,761.40/17,606.32 = 7,978.08/x
  3. Step 3: Cross multiply
    12,761.40x = 17,606.32 × 7,978.08
  4. Step 4: Simplify right side
    12,761.40x = 140,464,629.47
  5. Step 5: Solve for x
    x = 140,464,629.47/12,761.40
  6. Step 6: Final answer
    x = 11,006.99

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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.