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Finding the Fourth Proportional to 8,357.76, 12,544.44 and 4,411.92

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Solution

The fourth proportional to 8,357.76, 12,544.44 and 4,411.92 is: 6,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.76 : 12,544.44 = 4,411.92 : x
  2. Step 2: Convert to fraction form
    8,357.76/12,544.44 = 4,411.92/x
  3. Step 3: Cross multiply
    8,357.76x = 12,544.44 × 4,411.92
  4. Step 4: Simplify right side
    8,357.76x = 55,345,065.72
  5. Step 5: Solve for x
    x = 55,345,065.72/8,357.76
  6. Step 6: Final answer
    x = 6,622.00

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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.