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Finding the Fourth Proportional to 10,292.16, 14,201.64 and 5,815.65

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Solution

The fourth proportional to 10,292.16, 14,201.64 and 5,815.65 is: 8,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.16 : 14,201.64 = 5,815.65 : x
  2. Step 2: Convert to fraction form
    10,292.16/14,201.64 = 5,815.65/x
  3. Step 3: Cross multiply
    10,292.16x = 14,201.64 × 5,815.65
  4. Step 4: Simplify right side
    10,292.16x = 82,591,767.67
  5. Step 5: Solve for x
    x = 82,591,767.67/10,292.16
  6. Step 6: Final answer
    x = 8,024.73

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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.