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Finding the Fourth Proportional to 10,833.75, 14,950.58 and 5,865.75

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Solution

The fourth proportional to 10,833.75, 14,950.58 and 5,865.75 is: 8,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.75 : 14,950.58 = 5,865.75 : x
  2. Step 2: Convert to fraction form
    10,833.75/14,950.58 = 5,865.75/x
  3. Step 3: Cross multiply
    10,833.75x = 14,950.58 × 5,865.75
  4. Step 4: Simplify right side
    10,833.75x = 87,696,335.31
  5. Step 5: Solve for x
    x = 87,696,335.31/10,833.75
  6. Step 6: Final answer
    x = 8,094.74

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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.