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Finding the Fourth Proportional to 28,471, 42,706.52 and 7,694.52

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Solution

The fourth proportional to 28,471, 42,706.52 and 7,694.52 is: 11,541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,471 : 42,706.52 = 7,694.52 : x
  2. Step 2: Convert to fraction form
    28,471/42,706.52 = 7,694.52/x
  3. Step 3: Cross multiply
    28,471x = 42,706.52 × 7,694.52
  4. Step 4: Simplify right side
    28,471x = 328,606,172.27
  5. Step 5: Solve for x
    x = 328,606,172.27/28,471
  6. Step 6: Final answer
    x = 11,541.79

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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.