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Finding the Fourth Proportional to 7,803.57, 10,767.75 and 4,400.43

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Solution

The fourth proportional to 7,803.57, 10,767.75 and 4,400.43 is: 6,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.57 : 10,767.75 = 4,400.43 : x
  2. Step 2: Convert to fraction form
    7,803.57/10,767.75 = 4,400.43/x
  3. Step 3: Cross multiply
    7,803.57x = 10,767.75 × 4,400.43
  4. Step 4: Simplify right side
    7,803.57x = 47,382,679.44
  5. Step 5: Solve for x
    x = 47,382,679.44/7,803.57
  6. Step 6: Final answer
    x = 6,071.93

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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.