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Finding the Fourth Proportional to 11,862.10, 16,371.48 and 7,148.98

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Solution

The fourth proportional to 11,862.10, 16,371.48 and 7,148.98 is: 9,866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.10 : 16,371.48 = 7,148.98 : x
  2. Step 2: Convert to fraction form
    11,862.10/16,371.48 = 7,148.98/x
  3. Step 3: Cross multiply
    11,862.10x = 16,371.48 × 7,148.98
  4. Step 4: Simplify right side
    11,862.10x = 117,039,383.09
  5. Step 5: Solve for x
    x = 117,039,383.09/11,862.10
  6. Step 6: Final answer
    x = 9,866.67

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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.