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Finding the Fourth Proportional to 10,438.40, 15,629.36 and 7,643.90

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Solution

The fourth proportional to 10,438.40, 15,629.36 and 7,643.90 is: 11,445.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.40 : 15,629.36 = 7,643.90 : x
  2. Step 2: Convert to fraction form
    10,438.40/15,629.36 = 7,643.90/x
  3. Step 3: Cross multiply
    10,438.40x = 15,629.36 × 7,643.90
  4. Step 4: Simplify right side
    10,438.40x = 119,469,265.76
  5. Step 5: Solve for x
    x = 119,469,265.76/10,438.40
  6. Step 6: Final answer
    x = 11,445.17

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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.