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Finding the Fourth Proportional to 10,146.66, 14,003.42 and 5,899.02

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Solution

The fourth proportional to 10,146.66, 14,003.42 and 5,899.02 is: 8,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.66 : 14,003.42 = 5,899.02 : x
  2. Step 2: Convert to fraction form
    10,146.66/14,003.42 = 5,899.02/x
  3. Step 3: Cross multiply
    10,146.66x = 14,003.42 × 5,899.02
  4. Step 4: Simplify right side
    10,146.66x = 82,606,425.15
  5. Step 5: Solve for x
    x = 82,606,425.15/10,146.66
  6. Step 6: Final answer
    x = 8,141.24

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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.