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Finding the Fourth Proportional to 8,822.75, 13,234.16 and 2,248.93

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Solution

The fourth proportional to 8,822.75, 13,234.16 and 2,248.93 is: 3,373.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.75 : 13,234.16 = 2,248.93 : x
  2. Step 2: Convert to fraction form
    8,822.75/13,234.16 = 2,248.93/x
  3. Step 3: Cross multiply
    8,822.75x = 13,234.16 × 2,248.93
  4. Step 4: Simplify right side
    8,822.75x = 29,762,699.45
  5. Step 5: Solve for x
    x = 29,762,699.45/8,822.75
  6. Step 6: Final answer
    x = 3,373.40

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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.