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Finding the Fourth Proportional to 10,391.49, 15,582.78 and 2,994.17

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Solution

The fourth proportional to 10,391.49, 15,582.78 and 2,994.17 is: 4,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.49 : 15,582.78 = 2,994.17 : x
  2. Step 2: Convert to fraction form
    10,391.49/15,582.78 = 2,994.17/x
  3. Step 3: Cross multiply
    10,391.49x = 15,582.78 × 2,994.17
  4. Step 4: Simplify right side
    10,391.49x = 46,657,414.48
  5. Step 5: Solve for x
    x = 46,657,414.48/10,391.49
  6. Step 6: Final answer
    x = 4,489.96

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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.