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Finding the Fourth Proportional to 10,643.09, 14,687.12 and 5,927.13

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Solution

The fourth proportional to 10,643.09, 14,687.12 and 5,927.13 is: 8,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.09 : 14,687.12 = 5,927.13 : x
  2. Step 2: Convert to fraction form
    10,643.09/14,687.12 = 5,927.13/x
  3. Step 3: Cross multiply
    10,643.09x = 14,687.12 × 5,927.13
  4. Step 4: Simplify right side
    10,643.09x = 87,052,484.38
  5. Step 5: Solve for x
    x = 87,052,484.38/10,643.09
  6. Step 6: Final answer
    x = 8,179.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.