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Finding the Fourth Proportional to 8,430.41, 11,639.45 and 7,544.69

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Solution

The fourth proportional to 8,430.41, 11,639.45 and 7,544.69 is: 10,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.41 : 11,639.45 = 7,544.69 : x
  2. Step 2: Convert to fraction form
    8,430.41/11,639.45 = 7,544.69/x
  3. Step 3: Cross multiply
    8,430.41x = 11,639.45 × 7,544.69
  4. Step 4: Simplify right side
    8,430.41x = 87,816,042.02
  5. Step 5: Solve for x
    x = 87,816,042.02/8,430.41
  6. Step 6: Final answer
    x = 10,416.58

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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.