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Finding the Fourth Proportional to 10,189.46, 14,062.04 and 5,713.00

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Solution

The fourth proportional to 10,189.46, 14,062.04 and 5,713.00 is: 7,884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.46 : 14,062.04 = 5,713.00 : x
  2. Step 2: Convert to fraction form
    10,189.46/14,062.04 = 5,713.00/x
  3. Step 3: Cross multiply
    10,189.46x = 14,062.04 × 5,713.00
  4. Step 4: Simplify right side
    10,189.46x = 80,336,392.22
  5. Step 5: Solve for x
    x = 80,336,392.22/10,189.46
  6. Step 6: Final answer
    x = 7,884.26

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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.