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Finding the Fourth Proportional to 8,251.29, 12,365.73 and 4,547.97

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Solution

The fourth proportional to 8,251.29, 12,365.73 and 4,547.97 is: 6,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.29 : 12,365.73 = 4,547.97 : x
  2. Step 2: Convert to fraction form
    8,251.29/12,365.73 = 4,547.97/x
  3. Step 3: Cross multiply
    8,251.29x = 12,365.73 × 4,547.97
  4. Step 4: Simplify right side
    8,251.29x = 56,238,969.07
  5. Step 5: Solve for x
    x = 56,238,969.07/8,251.29
  6. Step 6: Final answer
    x = 6,815.78

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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.