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Finding the Fourth Proportional to 10,266.22, 14,167.08 and 5,729.02

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Solution

The fourth proportional to 10,266.22, 14,167.08 and 5,729.02 is: 7,905.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.22 : 14,167.08 = 5,729.02 : x
  2. Step 2: Convert to fraction form
    10,266.22/14,167.08 = 5,729.02/x
  3. Step 3: Cross multiply
    10,266.22x = 14,167.08 × 5,729.02
  4. Step 4: Simplify right side
    10,266.22x = 81,163,484.66
  5. Step 5: Solve for x
    x = 81,163,484.66/10,266.22
  6. Step 6: Final answer
    x = 7,905.88

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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.