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Finding the Fourth Proportional to 7,688.38, 11,536.21 and 4,574.54

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Solution

The fourth proportional to 7,688.38, 11,536.21 and 4,574.54 is: 6,863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.38 : 11,536.21 = 4,574.54 : x
  2. Step 2: Convert to fraction form
    7,688.38/11,536.21 = 4,574.54/x
  3. Step 3: Cross multiply
    7,688.38x = 11,536.21 × 4,574.54
  4. Step 4: Simplify right side
    7,688.38x = 52,772,854.09
  5. Step 5: Solve for x
    x = 52,772,854.09/7,688.38
  6. Step 6: Final answer
    x = 6,863.98

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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.