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Finding the Fourth Proportional to 7,616.12, 11,426.84 and 3,176.24

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Solution

The fourth proportional to 7,616.12, 11,426.84 and 3,176.24 is: 4,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.12 : 11,426.84 = 3,176.24 : x
  2. Step 2: Convert to fraction form
    7,616.12/11,426.84 = 3,176.24/x
  3. Step 3: Cross multiply
    7,616.12x = 11,426.84 × 3,176.24
  4. Step 4: Simplify right side
    7,616.12x = 36,294,386.28
  5. Step 5: Solve for x
    x = 36,294,386.28/7,616.12
  6. Step 6: Final answer
    x = 4,765.47

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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.