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Finding the Fourth Proportional to 8,221.95, 11,346.34 and 4,685.42

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Solution

The fourth proportional to 8,221.95, 11,346.34 and 4,685.42 is: 6,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.95 : 11,346.34 = 4,685.42 : x
  2. Step 2: Convert to fraction form
    8,221.95/11,346.34 = 4,685.42/x
  3. Step 3: Cross multiply
    8,221.95x = 11,346.34 × 4,685.42
  4. Step 4: Simplify right side
    8,221.95x = 53,162,368.36
  5. Step 5: Solve for x
    x = 53,162,368.36/8,221.95
  6. Step 6: Final answer
    x = 6,465.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.