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Finding the Fourth Proportional to 10,920.70, 16,382.76 and 4,680.64

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Solution

The fourth proportional to 10,920.70, 16,382.76 and 4,680.64 is: 7,021.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.70 : 16,382.76 = 4,680.64 : x
  2. Step 2: Convert to fraction form
    10,920.70/16,382.76 = 4,680.64/x
  3. Step 3: Cross multiply
    10,920.70x = 16,382.76 × 4,680.64
  4. Step 4: Simplify right side
    10,920.70x = 76,681,801.77
  5. Step 5: Solve for x
    x = 76,681,801.77/10,920.70
  6. Step 6: Final answer
    x = 7,021.69

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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.