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Finding the Fourth Proportional to 10,626.34, 14,664.09 and 6,149.47

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Solution

The fourth proportional to 10,626.34, 14,664.09 and 6,149.47 is: 8,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.34 : 14,664.09 = 6,149.47 : x
  2. Step 2: Convert to fraction form
    10,626.34/14,664.09 = 6,149.47/x
  3. Step 3: Cross multiply
    10,626.34x = 14,664.09 × 6,149.47
  4. Step 4: Simplify right side
    10,626.34x = 90,176,381.53
  5. Step 5: Solve for x
    x = 90,176,381.53/10,626.34
  6. Step 6: Final answer
    x = 8,486.12

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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.