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Finding the Fourth Proportional to 10,951.78, 16,428.59 and 4,711.95

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Solution

The fourth proportional to 10,951.78, 16,428.59 and 4,711.95 is: 7,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.78 : 16,428.59 = 4,711.95 : x
  2. Step 2: Convert to fraction form
    10,951.78/16,428.59 = 4,711.95/x
  3. Step 3: Cross multiply
    10,951.78x = 16,428.59 × 4,711.95
  4. Step 4: Simplify right side
    10,951.78x = 77,410,694.65
  5. Step 5: Solve for x
    x = 77,410,694.65/10,951.78
  6. Step 6: Final answer
    x = 7,068.32

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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.