Home / 7,875.12-11,820-3,982.26

Finding the Fourth Proportional to 7,875.12, 11,820 and 3,982.26

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Solution

The fourth proportional to 7,875.12, 11,820 and 3,982.26 is: 5,977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.12 : 11,820 = 3,982.26 : x
  2. Step 2: Convert to fraction form
    7,875.12/11,820 = 3,982.26/x
  3. Step 3: Cross multiply
    7,875.12x = 11,820 × 3,982.26
  4. Step 4: Simplify right side
    7,875.12x = 47,070,313.20
  5. Step 5: Solve for x
    x = 47,070,313.20/7,875.12
  6. Step 6: Final answer
    x = 5,977.09

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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.