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Finding the Fourth Proportional to 7,812.26, 10,780.88 and 4,275.44

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Solution

The fourth proportional to 7,812.26, 10,780.88 and 4,275.44 is: 5,900.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.26 : 10,780.88 = 4,275.44 : x
  2. Step 2: Convert to fraction form
    7,812.26/10,780.88 = 4,275.44/x
  3. Step 3: Cross multiply
    7,812.26x = 10,780.88 × 4,275.44
  4. Step 4: Simplify right side
    7,812.26x = 46,093,005.59
  5. Step 5: Solve for x
    x = 46,093,005.59/7,812.26
  6. Step 6: Final answer
    x = 5,900.09

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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.