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Finding the Fourth Proportional to 7,896.36, 10,943.07 and 7,785

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Solution

The fourth proportional to 7,896.36, 10,943.07 and 7,785 is: 10,788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.36 : 10,943.07 = 7,785 : x
  2. Step 2: Convert to fraction form
    7,896.36/10,943.07 = 7,785/x
  3. Step 3: Cross multiply
    7,896.36x = 10,943.07 × 7,785
  4. Step 4: Simplify right side
    7,896.36x = 85,191,799.95
  5. Step 5: Solve for x
    x = 85,191,799.95/7,896.36
  6. Step 6: Final answer
    x = 10,788.74

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.