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Finding the Fourth Proportional to 10,242.84, 14,131.83 and 6,211.29

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Solution

The fourth proportional to 10,242.84, 14,131.83 and 6,211.29 is: 8,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.84 : 14,131.83 = 6,211.29 : x
  2. Step 2: Convert to fraction form
    10,242.84/14,131.83 = 6,211.29/x
  3. Step 3: Cross multiply
    10,242.84x = 14,131.83 × 6,211.29
  4. Step 4: Simplify right side
    10,242.84x = 87,776,871.07
  5. Step 5: Solve for x
    x = 87,776,871.07/10,242.84
  6. Step 6: Final answer
    x = 8,569.58

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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.