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Finding the Fourth Proportional to 10,461.90, 14,436.27 and 5,986.86

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Solution

The fourth proportional to 10,461.90, 14,436.27 and 5,986.86 is: 8,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.90 : 14,436.27 = 5,986.86 : x
  2. Step 2: Convert to fraction form
    10,461.90/14,436.27 = 5,986.86/x
  3. Step 3: Cross multiply
    10,461.90x = 14,436.27 × 5,986.86
  4. Step 4: Simplify right side
    10,461.90x = 86,427,927.41
  5. Step 5: Solve for x
    x = 86,427,927.41/10,461.90
  6. Step 6: Final answer
    x = 8,261.21

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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.