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Finding the Fourth Proportional to 8,744, 12,068.64 and 5,433.92

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Solution

The fourth proportional to 8,744, 12,068.64 and 5,433.92 is: 7,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,744 : 12,068.64 = 5,433.92 : x
  2. Step 2: Convert to fraction form
    8,744/12,068.64 = 5,433.92/x
  3. Step 3: Cross multiply
    8,744x = 12,068.64 × 5,433.92
  4. Step 4: Simplify right side
    8,744x = 65,580,024.27
  5. Step 5: Solve for x
    x = 65,580,024.27/8,744
  6. Step 6: Final answer
    x = 7,500.00

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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.