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Finding the Fourth Proportional to 10,203.12, 15,290.10 and 5,811.51

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Solution

The fourth proportional to 10,203.12, 15,290.10 and 5,811.51 is: 8,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.12 : 15,290.10 = 5,811.51 : x
  2. Step 2: Convert to fraction form
    10,203.12/15,290.10 = 5,811.51/x
  3. Step 3: Cross multiply
    10,203.12x = 15,290.10 × 5,811.51
  4. Step 4: Simplify right side
    10,203.12x = 88,858,569.05
  5. Step 5: Solve for x
    x = 88,858,569.05/10,203.12
  6. Step 6: Final answer
    x = 8,708.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.