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Finding the Fourth Proportional to 10,356.75, 14,293.67 and 6,165

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Solution

The fourth proportional to 10,356.75, 14,293.67 and 6,165 is: 8,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.75 : 14,293.67 = 6,165 : x
  2. Step 2: Convert to fraction form
    10,356.75/14,293.67 = 6,165/x
  3. Step 3: Cross multiply
    10,356.75x = 14,293.67 × 6,165
  4. Step 4: Simplify right side
    10,356.75x = 88,120,444.73
  5. Step 5: Solve for x
    x = 88,120,444.73/10,356.75
  6. Step 6: Final answer
    x = 8,508.50

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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.