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Finding the Fourth Proportional to 9,116.80, 12,580.96 and 5,083.68

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Solution

The fourth proportional to 9,116.80, 12,580.96 and 5,083.68 is: 7,015.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.80 : 12,580.96 = 5,083.68 : x
  2. Step 2: Convert to fraction form
    9,116.80/12,580.96 = 5,083.68/x
  3. Step 3: Cross multiply
    9,116.80x = 12,580.96 × 5,083.68
  4. Step 4: Simplify right side
    9,116.80x = 63,957,574.73
  5. Step 5: Solve for x
    x = 63,957,574.73/9,116.80
  6. Step 6: Final answer
    x = 7,015.35

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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.