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Finding the Fourth Proportional to 10,778.36, 14,869.25 and 7,789.46

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Solution

The fourth proportional to 10,778.36, 14,869.25 and 7,789.46 is: 10,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.36 : 14,869.25 = 7,789.46 : x
  2. Step 2: Convert to fraction form
    10,778.36/14,869.25 = 7,789.46/x
  3. Step 3: Cross multiply
    10,778.36x = 14,869.25 × 7,789.46
  4. Step 4: Simplify right side
    10,778.36x = 115,823,428.11
  5. Step 5: Solve for x
    x = 115,823,428.11/10,778.36
  6. Step 6: Final answer
    x = 10,745.92

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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.