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Finding the Fourth Proportional to 28,611, 42,919.47 and 7,834.50

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Solution

The fourth proportional to 28,611, 42,919.47 and 7,834.50 is: 11,752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,611 : 42,919.47 = 7,834.50 : x
  2. Step 2: Convert to fraction form
    28,611/42,919.47 = 7,834.50/x
  3. Step 3: Cross multiply
    28,611x = 42,919.47 × 7,834.50
  4. Step 4: Simplify right side
    28,611x = 336,252,587.72
  5. Step 5: Solve for x
    x = 336,252,587.72/28,611
  6. Step 6: Final answer
    x = 11,752.56

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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.