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Finding the Fourth Proportional to 10,612.63, 14,630.80 and 8,466.46

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Solution

The fourth proportional to 10,612.63, 14,630.80 and 8,466.46 is: 11,672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.63 : 14,630.80 = 8,466.46 : x
  2. Step 2: Convert to fraction form
    10,612.63/14,630.80 = 8,466.46/x
  3. Step 3: Cross multiply
    10,612.63x = 14,630.80 × 8,466.46
  4. Step 4: Simplify right side
    10,612.63x = 123,871,082.97
  5. Step 5: Solve for x
    x = 123,871,082.97/10,612.63
  6. Step 6: Final answer
    x = 11,672.04

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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.