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Finding the Fourth Proportional to 12,106.16, 16,705.64 and 6,801.77

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Solution

The fourth proportional to 12,106.16, 16,705.64 and 6,801.77 is: 9,385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.16 : 16,705.64 = 6,801.77 : x
  2. Step 2: Convert to fraction form
    12,106.16/16,705.64 = 6,801.77/x
  3. Step 3: Cross multiply
    12,106.16x = 16,705.64 × 6,801.77
  4. Step 4: Simplify right side
    12,106.16x = 113,627,979.75
  5. Step 5: Solve for x
    x = 113,627,979.75/12,106.16
  6. Step 6: Final answer
    x = 9,385.96

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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.