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Finding the Fourth Proportional to 10,852.34, 16,279.32 and 4,611.65

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Solution

The fourth proportional to 10,852.34, 16,279.32 and 4,611.65 is: 6,917.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.34 : 16,279.32 = 4,611.65 : x
  2. Step 2: Convert to fraction form
    10,852.34/16,279.32 = 4,611.65/x
  3. Step 3: Cross multiply
    10,852.34x = 16,279.32 × 4,611.65
  4. Step 4: Simplify right side
    10,852.34x = 75,074,526.08
  5. Step 5: Solve for x
    x = 75,074,526.08/10,852.34
  6. Step 6: Final answer
    x = 6,917.82

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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.