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Finding the Fourth Proportional to 7,830.44, 10,806.12 and 4,293.65

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Solution

The fourth proportional to 7,830.44, 10,806.12 and 4,293.65 is: 5,925.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.44 : 10,806.12 = 4,293.65 : x
  2. Step 2: Convert to fraction form
    7,830.44/10,806.12 = 4,293.65/x
  3. Step 3: Cross multiply
    7,830.44x = 10,806.12 × 4,293.65
  4. Step 4: Simplify right side
    7,830.44x = 46,397,621.64
  5. Step 5: Solve for x
    x = 46,397,621.64/7,830.44
  6. Step 6: Final answer
    x = 5,925.29

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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.