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Finding the Fourth Proportional to 8,221.68, 11,345.94 and 4,685.04

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Solution

The fourth proportional to 8,221.68, 11,345.94 and 4,685.04 is: 6,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.68 : 11,345.94 = 4,685.04 : x
  2. Step 2: Convert to fraction form
    8,221.68/11,345.94 = 4,685.04/x
  3. Step 3: Cross multiply
    8,221.68x = 11,345.94 × 4,685.04
  4. Step 4: Simplify right side
    8,221.68x = 53,156,182.74
  5. Step 5: Solve for x
    x = 53,156,182.74/8,221.68
  6. Step 6: Final answer
    x = 6,465.37

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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.