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Finding the Fourth Proportional to 10,265.40, 14,163.62 and 6,285.06

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Solution

The fourth proportional to 10,265.40, 14,163.62 and 6,285.06 is: 8,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.40 : 14,163.62 = 6,285.06 : x
  2. Step 2: Convert to fraction form
    10,265.40/14,163.62 = 6,285.06/x
  3. Step 3: Cross multiply
    10,265.40x = 14,163.62 × 6,285.06
  4. Step 4: Simplify right side
    10,265.40x = 89,019,201.52
  5. Step 5: Solve for x
    x = 89,019,201.52/10,265.40
  6. Step 6: Final answer
    x = 8,671.77

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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.