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Finding the Fourth Proportional to 8,218.70, 11,340.78 and 4,681.46

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Solution

The fourth proportional to 8,218.70, 11,340.78 and 4,681.46 is: 6,459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.70 : 11,340.78 = 4,681.46 : x
  2. Step 2: Convert to fraction form
    8,218.70/11,340.78 = 4,681.46/x
  3. Step 3: Cross multiply
    8,218.70x = 11,340.78 × 4,681.46
  4. Step 4: Simplify right side
    8,218.70x = 53,091,407.94
  5. Step 5: Solve for x
    x = 53,091,407.94/8,218.70
  6. Step 6: Final answer
    x = 6,459.83

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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.