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Finding the Fourth Proportional to 8,578.08, 11,835.81 and 5,432.46

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Solution

The fourth proportional to 8,578.08, 11,835.81 and 5,432.46 is: 7,495.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.08 : 11,835.81 = 5,432.46 : x
  2. Step 2: Convert to fraction form
    8,578.08/11,835.81 = 5,432.46/x
  3. Step 3: Cross multiply
    8,578.08x = 11,835.81 × 5,432.46
  4. Step 4: Simplify right side
    8,578.08x = 64,297,564.39
  5. Step 5: Solve for x
    x = 64,297,564.39/8,578.08
  6. Step 6: Final answer
    x = 7,495.57

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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.