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Finding the Fourth Proportional to 28,478.34, 42,717.42 and 7,701.84

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Solution

The fourth proportional to 28,478.34, 42,717.42 and 7,701.84 is: 11,552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,478.34 : 42,717.42 = 7,701.84 : x
  2. Step 2: Convert to fraction form
    28,478.34/42,717.42 = 7,701.84/x
  3. Step 3: Cross multiply
    28,478.34x = 42,717.42 × 7,701.84
  4. Step 4: Simplify right side
    28,478.34x = 329,002,734.05
  5. Step 5: Solve for x
    x = 329,002,734.05/28,478.34
  6. Step 6: Final answer
    x = 11,552.74

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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.