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Finding the Fourth Proportional to 11,139.16, 15,371.40 and 6,102.40

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Solution

The fourth proportional to 11,139.16, 15,371.40 and 6,102.40 is: 8,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,139.16 : 15,371.40 = 6,102.40 : x
  2. Step 2: Convert to fraction form
    11,139.16/15,371.40 = 6,102.40/x
  3. Step 3: Cross multiply
    11,139.16x = 15,371.40 × 6,102.40
  4. Step 4: Simplify right side
    11,139.16x = 93,802,431.36
  5. Step 5: Solve for x
    x = 93,802,431.36/11,139.16
  6. Step 6: Final answer
    x = 8,420.96

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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.