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Finding the Fourth Proportional to 11,406.76, 15,735.90 and 7,426.40

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Solution

The fourth proportional to 11,406.76, 15,735.90 and 7,426.40 is: 10,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.76 : 15,735.90 = 7,426.40 : x
  2. Step 2: Convert to fraction form
    11,406.76/15,735.90 = 7,426.40/x
  3. Step 3: Cross multiply
    11,406.76x = 15,735.90 × 7,426.40
  4. Step 4: Simplify right side
    11,406.76x = 116,861,087.76
  5. Step 5: Solve for x
    x = 116,861,087.76/11,406.76
  6. Step 6: Final answer
    x = 10,244.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.