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Finding the Fourth Proportional to 10,189.56, 14,062.24 and 5,713.58

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Solution

The fourth proportional to 10,189.56, 14,062.24 and 5,713.58 is: 7,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.56 : 14,062.24 = 5,713.58 : x
  2. Step 2: Convert to fraction form
    10,189.56/14,062.24 = 5,713.58/x
  3. Step 3: Cross multiply
    10,189.56x = 14,062.24 × 5,713.58
  4. Step 4: Simplify right side
    10,189.56x = 80,345,733.22
  5. Step 5: Solve for x
    x = 80,345,733.22/10,189.56
  6. Step 6: Final answer
    x = 7,885.10

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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.