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Finding the Fourth Proportional to 7,830.63, 10,806.28 and 4,293.92

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Solution

The fourth proportional to 7,830.63, 10,806.28 and 4,293.92 is: 5,925.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.63 : 10,806.28 = 4,293.92 : x
  2. Step 2: Convert to fraction form
    7,830.63/10,806.28 = 4,293.92/x
  3. Step 3: Cross multiply
    7,830.63x = 10,806.28 × 4,293.92
  4. Step 4: Simplify right side
    7,830.63x = 46,401,278.65
  5. Step 5: Solve for x
    x = 46,401,278.65/7,830.63
  6. Step 6: Final answer
    x = 5,925.61

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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.