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Finding the Fourth Proportional to 7,920.80, 10,929.97 and 4,733.47

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Solution

The fourth proportional to 7,920.80, 10,929.97 and 4,733.47 is: 6,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.80 : 10,929.97 = 4,733.47 : x
  2. Step 2: Convert to fraction form
    7,920.80/10,929.97 = 4,733.47/x
  3. Step 3: Cross multiply
    7,920.80x = 10,929.97 × 4,733.47
  4. Step 4: Simplify right side
    7,920.80x = 51,736,704.68
  5. Step 5: Solve for x
    x = 51,736,704.68/7,920.80
  6. Step 6: Final answer
    x = 6,531.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.