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Finding the Fourth Proportional to 10,833.25, 14,949.89 and 5,865.25

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Solution

The fourth proportional to 10,833.25, 14,949.89 and 5,865.25 is: 8,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.25 : 14,949.89 = 5,865.25 : x
  2. Step 2: Convert to fraction form
    10,833.25/14,949.89 = 5,865.25/x
  3. Step 3: Cross multiply
    10,833.25x = 14,949.89 × 5,865.25
  4. Step 4: Simplify right side
    10,833.25x = 87,684,842.32
  5. Step 5: Solve for x
    x = 87,684,842.32/10,833.25
  6. Step 6: Final answer
    x = 8,094.05

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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.