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Finding the Fourth Proportional to 6,838.75, 10,235.92 and 3,547.15

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Solution

The fourth proportional to 6,838.75, 10,235.92 and 3,547.15 is: 5,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.75 : 10,235.92 = 3,547.15 : x
  2. Step 2: Convert to fraction form
    6,838.75/10,235.92 = 3,547.15/x
  3. Step 3: Cross multiply
    6,838.75x = 10,235.92 × 3,547.15
  4. Step 4: Simplify right side
    6,838.75x = 36,308,343.63
  5. Step 5: Solve for x
    x = 36,308,343.63/6,838.75
  6. Step 6: Final answer
    x = 5,309.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.