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Finding the Fourth Proportional to 10,852.65, 16,278.93 and 4,611.69

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Solution

The fourth proportional to 10,852.65, 16,278.93 and 4,611.69 is: 6,917.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.65 : 16,278.93 = 4,611.69 : x
  2. Step 2: Convert to fraction form
    10,852.65/16,278.93 = 4,611.69/x
  3. Step 3: Cross multiply
    10,852.65x = 16,278.93 × 4,611.69
  4. Step 4: Simplify right side
    10,852.65x = 75,073,378.69
  5. Step 5: Solve for x
    x = 75,073,378.69/10,852.65
  6. Step 6: Final answer
    x = 6,917.52

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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.