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Finding the Fourth Proportional to 12,165.16, 16,785.05 and 6,858.95

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Solution

The fourth proportional to 12,165.16, 16,785.05 and 6,858.95 is: 9,463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.16 : 16,785.05 = 6,858.95 : x
  2. Step 2: Convert to fraction form
    12,165.16/16,785.05 = 6,858.95/x
  3. Step 3: Cross multiply
    12,165.16x = 16,785.05 × 6,858.95
  4. Step 4: Simplify right side
    12,165.16x = 115,127,801.55
  5. Step 5: Solve for x
    x = 115,127,801.55/12,165.16
  6. Step 6: Final answer
    x = 9,463.73

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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.