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Finding the Fourth Proportional to 8,205.48, 11,323.14 and 4,478.76

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Solution

The fourth proportional to 8,205.48, 11,323.14 and 4,478.76 is: 6,180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.48 : 11,323.14 = 4,478.76 : x
  2. Step 2: Convert to fraction form
    8,205.48/11,323.14 = 4,478.76/x
  3. Step 3: Cross multiply
    8,205.48x = 11,323.14 × 4,478.76
  4. Step 4: Simplify right side
    8,205.48x = 50,713,626.51
  5. Step 5: Solve for x
    x = 50,713,626.51/8,205.48
  6. Step 6: Final answer
    x = 6,180.46

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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.