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Finding the Fourth Proportional to 10,266.16, 14,164.87 and 6,232.88

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Solution

The fourth proportional to 10,266.16, 14,164.87 and 6,232.88 is: 8,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.16 : 14,164.87 = 6,232.88 : x
  2. Step 2: Convert to fraction form
    10,266.16/14,164.87 = 6,232.88/x
  3. Step 3: Cross multiply
    10,266.16x = 14,164.87 × 6,232.88
  4. Step 4: Simplify right side
    10,266.16x = 88,287,903.76
  5. Step 5: Solve for x
    x = 88,287,903.76/10,266.16
  6. Step 6: Final answer
    x = 8,599.90

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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.