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Finding the Fourth Proportional to 7,683.58, 11,528.80 and 3,732.66

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Solution

The fourth proportional to 7,683.58, 11,528.80 and 3,732.66 is: 5,600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.58 : 11,528.80 = 3,732.66 : x
  2. Step 2: Convert to fraction form
    7,683.58/11,528.80 = 3,732.66/x
  3. Step 3: Cross multiply
    7,683.58x = 11,528.80 × 3,732.66
  4. Step 4: Simplify right side
    7,683.58x = 43,033,090.61
  5. Step 5: Solve for x
    x = 43,033,090.61/7,683.58
  6. Step 6: Final answer
    x = 5,600.66

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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.