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Finding the Fourth Proportional to 8,443.76, 12,661.92 and 4,494.07

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Solution

The fourth proportional to 8,443.76, 12,661.92 and 4,494.07 is: 6,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.76 : 12,661.92 = 4,494.07 : x
  2. Step 2: Convert to fraction form
    8,443.76/12,661.92 = 4,494.07/x
  3. Step 3: Cross multiply
    8,443.76x = 12,661.92 × 4,494.07
  4. Step 4: Simplify right side
    8,443.76x = 56,903,491.50
  5. Step 5: Solve for x
    x = 56,903,491.50/8,443.76
  6. Step 6: Final answer
    x = 6,739.12

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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.