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Finding the Fourth Proportional to 8,547.84, 12,823.43 and 3,282.47

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Solution

The fourth proportional to 8,547.84, 12,823.43 and 3,282.47 is: 4,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.84 : 12,823.43 = 3,282.47 : x
  2. Step 2: Convert to fraction form
    8,547.84/12,823.43 = 3,282.47/x
  3. Step 3: Cross multiply
    8,547.84x = 12,823.43 × 3,282.47
  4. Step 4: Simplify right side
    8,547.84x = 42,092,496.08
  5. Step 5: Solve for x
    x = 42,092,496.08/8,547.84
  6. Step 6: Final answer
    x = 4,924.34

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Why These Related Problems?

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