Home / 10,023.28-15,036-4,176.64

Finding the Fourth Proportional to 10,023.28, 15,036 and 4,176.64

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Solution

The fourth proportional to 10,023.28, 15,036 and 4,176.64 is: 6,265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.28 : 15,036 = 4,176.64 : x
  2. Step 2: Convert to fraction form
    10,023.28/15,036 = 4,176.64/x
  3. Step 3: Cross multiply
    10,023.28x = 15,036 × 4,176.64
  4. Step 4: Simplify right side
    10,023.28x = 62,799,959.04
  5. Step 5: Solve for x
    x = 62,799,959.04/10,023.28
  6. Step 6: Final answer
    x = 6,265.41

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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.