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Finding the Fourth Proportional to 8,291.24, 11,444.32 and 6,624.26

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Solution

The fourth proportional to 8,291.24, 11,444.32 and 6,624.26 is: 9,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.24 : 11,444.32 = 6,624.26 : x
  2. Step 2: Convert to fraction form
    8,291.24/11,444.32 = 6,624.26/x
  3. Step 3: Cross multiply
    8,291.24x = 11,444.32 × 6,624.26
  4. Step 4: Simplify right side
    8,291.24x = 75,810,151.20
  5. Step 5: Solve for x
    x = 75,810,151.20/8,291.24
  6. Step 6: Final answer
    x = 9,143.40

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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.