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Finding the Fourth Proportional to 10,438.02, 15,727.52 and 8,629.62

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Solution

The fourth proportional to 10,438.02, 15,727.52 and 8,629.62 is: 13,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.02 : 15,727.52 = 8,629.62 : x
  2. Step 2: Convert to fraction form
    10,438.02/15,727.52 = 8,629.62/x
  3. Step 3: Cross multiply
    10,438.02x = 15,727.52 × 8,629.62
  4. Step 4: Simplify right side
    10,438.02x = 135,722,477.99
  5. Step 5: Solve for x
    x = 135,722,477.99/10,438.02
  6. Step 6: Final answer
    x = 13,002.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.