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Finding the Fourth Proportional to 7,632.58, 11,454 and 2,702.20

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Solution

The fourth proportional to 7,632.58, 11,454 and 2,702.20 is: 4,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.58 : 11,454 = 2,702.20 : x
  2. Step 2: Convert to fraction form
    7,632.58/11,454 = 2,702.20/x
  3. Step 3: Cross multiply
    7,632.58x = 11,454 × 2,702.20
  4. Step 4: Simplify right side
    7,632.58x = 30,950,998.80
  5. Step 5: Solve for x
    x = 30,950,998.80/7,632.58
  6. Step 6: Final answer
    x = 4,055.12

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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.