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Finding the Fourth Proportional to 10,312.25, 14,231.11 and 5,836.00

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Solution

The fourth proportional to 10,312.25, 14,231.11 and 5,836.00 is: 8,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.25 : 14,231.11 = 5,836.00 : x
  2. Step 2: Convert to fraction form
    10,312.25/14,231.11 = 5,836.00/x
  3. Step 3: Cross multiply
    10,312.25x = 14,231.11 × 5,836.00
  4. Step 4: Simplify right side
    10,312.25x = 83,052,686.80
  5. Step 5: Solve for x
    x = 83,052,686.80/10,312.25
  6. Step 6: Final answer
    x = 8,053.79

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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.