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Finding the Fourth Proportional to 7,987.76, 11,022.08 and 4,629.86

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Solution

The fourth proportional to 7,987.76, 11,022.08 and 4,629.86 is: 6,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.76 : 11,022.08 = 4,629.86 : x
  2. Step 2: Convert to fraction form
    7,987.76/11,022.08 = 4,629.86/x
  3. Step 3: Cross multiply
    7,987.76x = 11,022.08 × 4,629.86
  4. Step 4: Simplify right side
    7,987.76x = 51,030,650.38
  5. Step 5: Solve for x
    x = 51,030,650.38/7,987.76
  6. Step 6: Final answer
    x = 6,388.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.