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Finding the Fourth Proportional to 10,054.92, 15,082.36 and 6,889.22

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Solution

The fourth proportional to 10,054.92, 15,082.36 and 6,889.22 is: 10,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.92 : 15,082.36 = 6,889.22 : x
  2. Step 2: Convert to fraction form
    10,054.92/15,082.36 = 6,889.22/x
  3. Step 3: Cross multiply
    10,054.92x = 15,082.36 × 6,889.22
  4. Step 4: Simplify right side
    10,054.92x = 103,905,696.16
  5. Step 5: Solve for x
    x = 103,905,696.16/10,054.92
  6. Step 6: Final answer
    x = 10,333.82

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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.