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Finding the Fourth Proportional to 7,987.52, 11,023.36 and 4,631.20

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Solution

The fourth proportional to 7,987.52, 11,023.36 and 4,631.20 is: 6,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.52 : 11,023.36 = 4,631.20 : x
  2. Step 2: Convert to fraction form
    7,987.52/11,023.36 = 4,631.20/x
  3. Step 3: Cross multiply
    7,987.52x = 11,023.36 × 4,631.20
  4. Step 4: Simplify right side
    7,987.52x = 51,051,384.83
  5. Step 5: Solve for x
    x = 51,051,384.83/7,987.52
  6. Step 6: Final answer
    x = 6,391.39

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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.