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Finding the Fourth Proportional to 7,615.40, 11,406.56 and 7,429.54

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Solution

The fourth proportional to 7,615.40, 11,406.56 and 7,429.54 is: 11,128.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.40 : 11,406.56 = 7,429.54 : x
  2. Step 2: Convert to fraction form
    7,615.40/11,406.56 = 7,429.54/x
  3. Step 3: Cross multiply
    7,615.40x = 11,406.56 × 7,429.54
  4. Step 4: Simplify right side
    7,615.40x = 84,745,493.78
  5. Step 5: Solve for x
    x = 84,745,493.78/7,615.40
  6. Step 6: Final answer
    x = 11,128.17

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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.