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Finding the Fourth Proportional to 10,312.52, 14,231.27 and 5,836.19

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Solution

The fourth proportional to 10,312.52, 14,231.27 and 5,836.19 is: 8,053.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.52 : 14,231.27 = 5,836.19 : x
  2. Step 2: Convert to fraction form
    10,312.52/14,231.27 = 5,836.19/x
  3. Step 3: Cross multiply
    10,312.52x = 14,231.27 × 5,836.19
  4. Step 4: Simplify right side
    10,312.52x = 83,056,295.32
  5. Step 5: Solve for x
    x = 83,056,295.32/10,312.52
  6. Step 6: Final answer
    x = 8,053.93

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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.