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Finding the Fourth Proportional to 10,806.75, 14,913.32 and 5,838.75

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Solution

The fourth proportional to 10,806.75, 14,913.32 and 5,838.75 is: 8,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.75 : 14,913.32 = 5,838.75 : x
  2. Step 2: Convert to fraction form
    10,806.75/14,913.32 = 5,838.75/x
  3. Step 3: Cross multiply
    10,806.75x = 14,913.32 × 5,838.75
  4. Step 4: Simplify right side
    10,806.75x = 87,075,117.96
  5. Step 5: Solve for x
    x = 87,075,117.96/10,806.75
  6. Step 6: Final answer
    x = 8,057.48

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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.