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Finding the Fourth Proportional to 10,466.81, 14,440.10 and 5,988.16

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Solution

The fourth proportional to 10,466.81, 14,440.10 and 5,988.16 is: 8,261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.81 : 14,440.10 = 5,988.16 : x
  2. Step 2: Convert to fraction form
    10,466.81/14,440.10 = 5,988.16/x
  3. Step 3: Cross multiply
    10,466.81x = 14,440.10 × 5,988.16
  4. Step 4: Simplify right side
    10,466.81x = 86,469,563.17
  5. Step 5: Solve for x
    x = 86,469,563.17/10,466.81
  6. Step 6: Final answer
    x = 8,261.31

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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.