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Finding the Fourth Proportional to 10,286.99, 14,196.09 and 5,810.79

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Solution

The fourth proportional to 10,286.99, 14,196.09 and 5,810.79 is: 8,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.99 : 14,196.09 = 5,810.79 : x
  2. Step 2: Convert to fraction form
    10,286.99/14,196.09 = 5,810.79/x
  3. Step 3: Cross multiply
    10,286.99x = 14,196.09 × 5,810.79
  4. Step 4: Simplify right side
    10,286.99x = 82,490,468.76
  5. Step 5: Solve for x
    x = 82,490,468.76/10,286.99
  6. Step 6: Final answer
    x = 8,018.92

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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.