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Finding the Fourth Proportional to 8,547.46, 12,821.56 and 2,623.92

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Solution

The fourth proportional to 8,547.46, 12,821.56 and 2,623.92 is: 3,935.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.46 : 12,821.56 = 2,623.92 : x
  2. Step 2: Convert to fraction form
    8,547.46/12,821.56 = 2,623.92/x
  3. Step 3: Cross multiply
    8,547.46x = 12,821.56 × 2,623.92
  4. Step 4: Simplify right side
    8,547.46x = 33,642,747.72
  5. Step 5: Solve for x
    x = 33,642,747.72/8,547.46
  6. Step 6: Final answer
    x = 3,935.99

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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.