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Finding the Fourth Proportional to 10,286.99, 15,427.29 and 3,712.32

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Solution

The fourth proportional to 10,286.99, 15,427.29 and 3,712.32 is: 5,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.99 : 15,427.29 = 3,712.32 : x
  2. Step 2: Convert to fraction form
    10,286.99/15,427.29 = 3,712.32/x
  3. Step 3: Cross multiply
    10,286.99x = 15,427.29 × 3,712.32
  4. Step 4: Simplify right side
    10,286.99x = 57,270,941.51
  5. Step 5: Solve for x
    x = 57,270,941.51/10,286.99
  6. Step 6: Final answer
    x = 5,567.32

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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.