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Finding the Fourth Proportional to 10,857.86, 16,306.85 and 6,502.08

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Solution

The fourth proportional to 10,857.86, 16,306.85 and 6,502.08 is: 9,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.86 : 16,306.85 = 6,502.08 : x
  2. Step 2: Convert to fraction form
    10,857.86/16,306.85 = 6,502.08/x
  3. Step 3: Cross multiply
    10,857.86x = 16,306.85 × 6,502.08
  4. Step 4: Simplify right side
    10,857.86x = 106,028,410.74
  5. Step 5: Solve for x
    x = 106,028,410.74/10,857.86
  6. Step 6: Final answer
    x = 9,765.13

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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.