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Finding the Fourth Proportional to 10,266.53, 14,164.34 and 8,374.83

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Solution

The fourth proportional to 10,266.53, 14,164.34 and 8,374.83 is: 11,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.53 : 14,164.34 = 8,374.83 : x
  2. Step 2: Convert to fraction form
    10,266.53/14,164.34 = 8,374.83/x
  3. Step 3: Cross multiply
    10,266.53x = 14,164.34 × 8,374.83
  4. Step 4: Simplify right side
    10,266.53x = 118,623,868.74
  5. Step 5: Solve for x
    x = 118,623,868.74/10,266.53
  6. Step 6: Final answer
    x = 11,554.43

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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.