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Finding the Fourth Proportional to 8,403.20, 11,588.64 and 6,632

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Solution

The fourth proportional to 8,403.20, 11,588.64 and 6,632 is: 9,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.20 : 11,588.64 = 6,632 : x
  2. Step 2: Convert to fraction form
    8,403.20/11,588.64 = 6,632/x
  3. Step 3: Cross multiply
    8,403.20x = 11,588.64 × 6,632
  4. Step 4: Simplify right side
    8,403.20x = 76,855,860.48
  5. Step 5: Solve for x
    x = 76,855,860.48/8,403.20
  6. Step 6: Final answer
    x = 9,146.02

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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.