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Finding the Fourth Proportional to 10,387.37, 14,344.52 and 8,261.87

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Solution

The fourth proportional to 10,387.37, 14,344.52 and 8,261.87 is: 11,409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.37 : 14,344.52 = 8,261.87 : x
  2. Step 2: Convert to fraction form
    10,387.37/14,344.52 = 8,261.87/x
  3. Step 3: Cross multiply
    10,387.37x = 14,344.52 × 8,261.87
  4. Step 4: Simplify right side
    10,387.37x = 118,512,446.42
  5. Step 5: Solve for x
    x = 118,512,446.42/10,387.37
  6. Step 6: Final answer
    x = 11,409.28

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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.