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Finding the Fourth Proportional to 11,371.83, 15,680.59 and 7,787.38

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Solution

The fourth proportional to 11,371.83, 15,680.59 and 7,787.38 is: 10,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,371.83 : 15,680.59 = 7,787.38 : x
  2. Step 2: Convert to fraction form
    11,371.83/15,680.59 = 7,787.38/x
  3. Step 3: Cross multiply
    11,371.83x = 15,680.59 × 7,787.38
  4. Step 4: Simplify right side
    11,371.83x = 122,110,742.29
  5. Step 5: Solve for x
    x = 122,110,742.29/11,371.83
  6. Step 6: Final answer
    x = 10,738.00

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Why These Related Problems?

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