Home / 7,830.24-11,744.08-2,565.20

Finding the Fourth Proportional to 7,830.24, 11,744.08 and 2,565.20

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Solution

The fourth proportional to 7,830.24, 11,744.08 and 2,565.20 is: 3,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.24 : 11,744.08 = 2,565.20 : x
  2. Step 2: Convert to fraction form
    7,830.24/11,744.08 = 2,565.20/x
  3. Step 3: Cross multiply
    7,830.24x = 11,744.08 × 2,565.20
  4. Step 4: Simplify right side
    7,830.24x = 30,125,914.02
  5. Step 5: Solve for x
    x = 30,125,914.02/7,830.24
  6. Step 6: Final answer
    x = 3,847.38

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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.