Home / 8,023-12,029.04-4,904.08

Finding the Fourth Proportional to 8,023, 12,029.04 and 4,904.08

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Solution

The fourth proportional to 8,023, 12,029.04 and 4,904.08 is: 7,352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023 : 12,029.04 = 4,904.08 : x
  2. Step 2: Convert to fraction form
    8,023/12,029.04 = 4,904.08/x
  3. Step 3: Cross multiply
    8,023x = 12,029.04 × 4,904.08
  4. Step 4: Simplify right side
    8,023x = 58,991,374.48
  5. Step 5: Solve for x
    x = 58,991,374.48/8,023
  6. Step 6: Final answer
    x = 7,352.78

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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.