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Finding the Fourth Proportional to 8,440.69, 11,648.40 and 4,612.58

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Solution

The fourth proportional to 8,440.69, 11,648.40 and 4,612.58 is: 6,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.69 : 11,648.40 = 4,612.58 : x
  2. Step 2: Convert to fraction form
    8,440.69/11,648.40 = 4,612.58/x
  3. Step 3: Cross multiply
    8,440.69x = 11,648.40 × 4,612.58
  4. Step 4: Simplify right side
    8,440.69x = 53,729,176.87
  5. Step 5: Solve for x
    x = 53,729,176.87/8,440.69
  6. Step 6: Final answer
    x = 6,365.50

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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.