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Finding the Fourth Proportional to 7,685.76, 11,528.10 and 4,388.52

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Solution

The fourth proportional to 7,685.76, 11,528.10 and 4,388.52 is: 6,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.76 : 11,528.10 = 4,388.52 : x
  2. Step 2: Convert to fraction form
    7,685.76/11,528.10 = 4,388.52/x
  3. Step 3: Cross multiply
    7,685.76x = 11,528.10 × 4,388.52
  4. Step 4: Simplify right side
    7,685.76x = 50,591,297.41
  5. Step 5: Solve for x
    x = 50,591,297.41/7,685.76
  6. Step 6: Final answer
    x = 6,582.47

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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.