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Finding the Fourth Proportional to 10,214.30, 15,317.49 and 3,973.46

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Solution

The fourth proportional to 10,214.30, 15,317.49 and 3,973.46 is: 5,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.30 : 15,317.49 = 3,973.46 : x
  2. Step 2: Convert to fraction form
    10,214.30/15,317.49 = 3,973.46/x
  3. Step 3: Cross multiply
    10,214.30x = 15,317.49 × 3,973.46
  4. Step 4: Simplify right side
    10,214.30x = 60,863,357.23
  5. Step 5: Solve for x
    x = 60,863,357.23/10,214.30
  6. Step 6: Final answer
    x = 5,958.64

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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.