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Finding the Fourth Proportional to 6,877.60, 10,305.40 and 6,695.36

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Solution

The fourth proportional to 6,877.60, 10,305.40 and 6,695.36 is: 10,032.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.60 : 10,305.40 = 6,695.36 : x
  2. Step 2: Convert to fraction form
    6,877.60/10,305.40 = 6,695.36/x
  3. Step 3: Cross multiply
    6,877.60x = 10,305.40 × 6,695.36
  4. Step 4: Simplify right side
    6,877.60x = 68,998,362.94
  5. Step 5: Solve for x
    x = 68,998,362.94/6,877.60
  6. Step 6: Final answer
    x = 10,032.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.