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Finding the Fourth Proportional to 6,852.45, 10,259.59 and 4,381.17

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Solution

The fourth proportional to 6,852.45, 10,259.59 and 4,381.17 is: 6,559.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.45 : 10,259.59 = 4,381.17 : x
  2. Step 2: Convert to fraction form
    6,852.45/10,259.59 = 4,381.17/x
  3. Step 3: Cross multiply
    6,852.45x = 10,259.59 × 4,381.17
  4. Step 4: Simplify right side
    6,852.45x = 44,949,007.92
  5. Step 5: Solve for x
    x = 44,949,007.92/6,852.45
  6. Step 6: Final answer
    x = 6,559.55

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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.