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Finding the Fourth Proportional to 10,673.14, 16,009.78 and 6,998.62

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Solution

The fourth proportional to 10,673.14, 16,009.78 and 6,998.62 is: 10,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.14 : 16,009.78 = 6,998.62 : x
  2. Step 2: Convert to fraction form
    10,673.14/16,009.78 = 6,998.62/x
  3. Step 3: Cross multiply
    10,673.14x = 16,009.78 × 6,998.62
  4. Step 4: Simplify right side
    10,673.14x = 112,046,366.50
  5. Step 5: Solve for x
    x = 112,046,366.50/10,673.14
  6. Step 6: Final answer
    x = 10,497.98

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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.