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Finding the Fourth Proportional to 7,806.66, 11,712.42 and 2,616.18

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Solution

The fourth proportional to 7,806.66, 11,712.42 and 2,616.18 is: 3,925.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.66 : 11,712.42 = 2,616.18 : x
  2. Step 2: Convert to fraction form
    7,806.66/11,712.42 = 2,616.18/x
  3. Step 3: Cross multiply
    7,806.66x = 11,712.42 × 2,616.18
  4. Step 4: Simplify right side
    7,806.66x = 30,641,798.96
  5. Step 5: Solve for x
    x = 30,641,798.96/7,806.66
  6. Step 6: Final answer
    x = 3,925.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.