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Finding the Fourth Proportional to 10,114.54, 13,959.88 and 5,868.32

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Solution

The fourth proportional to 10,114.54, 13,959.88 and 5,868.32 is: 8,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.54 : 13,959.88 = 5,868.32 : x
  2. Step 2: Convert to fraction form
    10,114.54/13,959.88 = 5,868.32/x
  3. Step 3: Cross multiply
    10,114.54x = 13,959.88 × 5,868.32
  4. Step 4: Simplify right side
    10,114.54x = 81,920,958.53
  5. Step 5: Solve for x
    x = 81,920,958.53/10,114.54
  6. Step 6: Final answer
    x = 8,099.33

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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.