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Finding the Fourth Proportional to 10,024.84, 13,834.50 and 6,494.19

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Solution

The fourth proportional to 10,024.84, 13,834.50 and 6,494.19 is: 8,962.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.84 : 13,834.50 = 6,494.19 : x
  2. Step 2: Convert to fraction form
    10,024.84/13,834.50 = 6,494.19/x
  3. Step 3: Cross multiply
    10,024.84x = 13,834.50 × 6,494.19
  4. Step 4: Simplify right side
    10,024.84x = 89,843,871.56
  5. Step 5: Solve for x
    x = 89,843,871.56/10,024.84
  6. Step 6: Final answer
    x = 8,962.13

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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.