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Finding the Fourth Proportional to 10,016.06, 13,833.99 and 7,509.11

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Solution

The fourth proportional to 10,016.06, 13,833.99 and 7,509.11 is: 10,371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.06 : 13,833.99 = 7,509.11 : x
  2. Step 2: Convert to fraction form
    10,016.06/13,833.99 = 7,509.11/x
  3. Step 3: Cross multiply
    10,016.06x = 13,833.99 × 7,509.11
  4. Step 4: Simplify right side
    10,016.06x = 103,880,883.48
  5. Step 5: Solve for x
    x = 103,880,883.48/10,016.06
  6. Step 6: Final answer
    x = 10,371.44

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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.