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Finding the Fourth Proportional to 28,494.84, 42,737.22 and 7,719.96

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Solution

The fourth proportional to 28,494.84, 42,737.22 and 7,719.96 is: 11,578.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,494.84 : 42,737.22 = 7,719.96 : x
  2. Step 2: Convert to fraction form
    28,494.84/42,737.22 = 7,719.96/x
  3. Step 3: Cross multiply
    28,494.84x = 42,737.22 × 7,719.96
  4. Step 4: Simplify right side
    28,494.84x = 329,929,628.91
  5. Step 5: Solve for x
    x = 329,929,628.91/28,494.84
  6. Step 6: Final answer
    x = 11,578.57

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Why These Related Problems?

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