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Finding the Fourth Proportional to 10,833.10, 14,949.72 and 5,865.10

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Solution

The fourth proportional to 10,833.10, 14,949.72 and 5,865.10 is: 8,093.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.10 : 14,949.72 = 5,865.10 : x
  2. Step 2: Convert to fraction form
    10,833.10/14,949.72 = 5,865.10/x
  3. Step 3: Cross multiply
    10,833.10x = 14,949.72 × 5,865.10
  4. Step 4: Simplify right side
    10,833.10x = 87,681,602.77
  5. Step 5: Solve for x
    x = 87,681,602.77/10,833.10
  6. Step 6: Final answer
    x = 8,093.86

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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.