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Finding the Fourth Proportional to 10,673.14, 16,011.72 and 4,098.82

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Solution

The fourth proportional to 10,673.14, 16,011.72 and 4,098.82 is: 6,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.14 : 16,011.72 = 4,098.82 : x
  2. Step 2: Convert to fraction form
    10,673.14/16,011.72 = 4,098.82/x
  3. Step 3: Cross multiply
    10,673.14x = 16,011.72 × 4,098.82
  4. Step 4: Simplify right side
    10,673.14x = 65,629,158.17
  5. Step 5: Solve for x
    x = 65,629,158.17/10,673.14
  6. Step 6: Final answer
    x = 6,149.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.