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Finding the Fourth Proportional to 10,291.32, 14,201.79 and 5,815.68

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Solution

The fourth proportional to 10,291.32, 14,201.79 and 5,815.68 is: 8,025.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.32 : 14,201.79 = 5,815.68 : x
  2. Step 2: Convert to fraction form
    10,291.32/14,201.79 = 5,815.68/x
  3. Step 3: Cross multiply
    10,291.32x = 14,201.79 × 5,815.68
  4. Step 4: Simplify right side
    10,291.32x = 82,593,066.07
  5. Step 5: Solve for x
    x = 82,593,066.07/10,291.32
  6. Step 6: Final answer
    x = 8,025.51

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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.