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Finding the Fourth Proportional to 8,820.96, 13,237.92 and 4,434

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Solution

The fourth proportional to 8,820.96, 13,237.92 and 4,434 is: 6,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,820.96 : 13,237.92 = 4,434 : x
  2. Step 2: Convert to fraction form
    8,820.96/13,237.92 = 4,434/x
  3. Step 3: Cross multiply
    8,820.96x = 13,237.92 × 4,434
  4. Step 4: Simplify right side
    8,820.96x = 58,696,937.28
  5. Step 5: Solve for x
    x = 58,696,937.28/8,820.96
  6. Step 6: Final answer
    x = 6,654.26

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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.