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Finding the Fourth Proportional to 10,877.31, 16,242.03 and 10,261.31

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Solution

The fourth proportional to 10,877.31, 16,242.03 and 10,261.31 is: 15,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.31 : 16,242.03 = 10,261.31 : x
  2. Step 2: Convert to fraction form
    10,877.31/16,242.03 = 10,261.31/x
  3. Step 3: Cross multiply
    10,877.31x = 16,242.03 × 10,261.31
  4. Step 4: Simplify right side
    10,877.31x = 166,664,423.65
  5. Step 5: Solve for x
    x = 166,664,423.65/10,877.31
  6. Step 6: Final answer
    x = 15,322.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.