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Finding the Fourth Proportional to 10,866.57, 16,301.69 and 3,368.40

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Solution

The fourth proportional to 10,866.57, 16,301.69 and 3,368.40 is: 5,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.57 : 16,301.69 = 3,368.40 : x
  2. Step 2: Convert to fraction form
    10,866.57/16,301.69 = 3,368.40/x
  3. Step 3: Cross multiply
    10,866.57x = 16,301.69 × 3,368.40
  4. Step 4: Simplify right side
    10,866.57x = 54,910,595.75
  5. Step 5: Solve for x
    x = 54,910,595.75/10,866.57
  6. Step 6: Final answer
    x = 5,053.17

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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.