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Finding the Fourth Proportional to 7,675.74, 11,513.61 and 2,482.02

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Solution

The fourth proportional to 7,675.74, 11,513.61 and 2,482.02 is: 3,723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.74 : 11,513.61 = 2,482.02 : x
  2. Step 2: Convert to fraction form
    7,675.74/11,513.61 = 2,482.02/x
  3. Step 3: Cross multiply
    7,675.74x = 11,513.61 × 2,482.02
  4. Step 4: Simplify right side
    7,675.74x = 28,577,010.29
  5. Step 5: Solve for x
    x = 28,577,010.29/7,675.74
  6. Step 6: Final answer
    x = 3,723.03

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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.