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Finding the Fourth Proportional to 11,959.05, 17,916.06 and 7,014

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Solution

The fourth proportional to 11,959.05, 17,916.06 and 7,014 is: 10,507.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.05 : 17,916.06 = 7,014 : x
  2. Step 2: Convert to fraction form
    11,959.05/17,916.06 = 7,014/x
  3. Step 3: Cross multiply
    11,959.05x = 17,916.06 × 7,014
  4. Step 4: Simplify right side
    11,959.05x = 125,663,244.84
  5. Step 5: Solve for x
    x = 125,663,244.84/11,959.05
  6. Step 6: Final answer
    x = 10,507.79

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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.