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Finding the Fourth Proportional to 10,182.99, 15,274.50 and 2,787.51

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Solution

The fourth proportional to 10,182.99, 15,274.50 and 2,787.51 is: 4,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.99 : 15,274.50 = 2,787.51 : x
  2. Step 2: Convert to fraction form
    10,182.99/15,274.50 = 2,787.51/x
  3. Step 3: Cross multiply
    10,182.99x = 15,274.50 × 2,787.51
  4. Step 4: Simplify right side
    10,182.99x = 42,577,876.16
  5. Step 5: Solve for x
    x = 42,577,876.16/10,182.99
  6. Step 6: Final answer
    x = 4,181.27

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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.