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Finding the Fourth Proportional to 11,866.60, 16,368.90 and 7,391.08

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Solution

The fourth proportional to 11,866.60, 16,368.90 and 7,391.08 is: 10,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.60 : 16,368.90 = 7,391.08 : x
  2. Step 2: Convert to fraction form
    11,866.60/16,368.90 = 7,391.08/x
  3. Step 3: Cross multiply
    11,866.60x = 16,368.90 × 7,391.08
  4. Step 4: Simplify right side
    11,866.60x = 120,983,849.41
  5. Step 5: Solve for x
    x = 120,983,849.41/11,866.60
  6. Step 6: Final answer
    x = 10,195.33

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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.