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Finding the Fourth Proportional to 12,582.84, 17,363.28 and 7,278

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Solution

The fourth proportional to 12,582.84, 17,363.28 and 7,278 is: 10,043.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.84 : 17,363.28 = 7,278 : x
  2. Step 2: Convert to fraction form
    12,582.84/17,363.28 = 7,278/x
  3. Step 3: Cross multiply
    12,582.84x = 17,363.28 × 7,278
  4. Step 4: Simplify right side
    12,582.84x = 126,369,951.84
  5. Step 5: Solve for x
    x = 126,369,951.84/12,582.84
  6. Step 6: Final answer
    x = 10,043.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.