Home / 7,882.30-11,823.90-2,038.76

Finding the Fourth Proportional to 7,882.30, 11,823.90 and 2,038.76

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Solution

The fourth proportional to 7,882.30, 11,823.90 and 2,038.76 is: 3,058.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.30 : 11,823.90 = 2,038.76 : x
  2. Step 2: Convert to fraction form
    7,882.30/11,823.90 = 2,038.76/x
  3. Step 3: Cross multiply
    7,882.30x = 11,823.90 × 2,038.76
  4. Step 4: Simplify right side
    7,882.30x = 24,106,094.36
  5. Step 5: Solve for x
    x = 24,106,094.36/7,882.30
  6. Step 6: Final answer
    x = 3,058.26

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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.