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Finding the Fourth Proportional to 10,678.69, 16,016.14 and 2,888.11

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Solution

The fourth proportional to 10,678.69, 16,016.14 and 2,888.11 is: 4,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.69 : 16,016.14 = 2,888.11 : x
  2. Step 2: Convert to fraction form
    10,678.69/16,016.14 = 2,888.11/x
  3. Step 3: Cross multiply
    10,678.69x = 16,016.14 × 2,888.11
  4. Step 4: Simplify right side
    10,678.69x = 46,256,374.10
  5. Step 5: Solve for x
    x = 46,256,374.10/10,678.69
  6. Step 6: Final answer
    x = 4,331.65

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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.