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Finding the Fourth Proportional to 12,616.83, 17,411.37 and 7,309.71

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Solution

The fourth proportional to 12,616.83, 17,411.37 and 7,309.71 is: 10,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.83 : 17,411.37 = 7,309.71 : x
  2. Step 2: Convert to fraction form
    12,616.83/17,411.37 = 7,309.71/x
  3. Step 3: Cross multiply
    12,616.83x = 17,411.37 × 7,309.71
  4. Step 4: Simplify right side
    12,616.83x = 127,272,065.40
  5. Step 5: Solve for x
    x = 127,272,065.40/12,616.83
  6. Step 6: Final answer
    x = 10,087.48

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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.