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Finding the Fourth Proportional to 7,688.74, 10,609.90 and 4,544.32

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Solution

The fourth proportional to 7,688.74, 10,609.90 and 4,544.32 is: 6,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.74 : 10,609.90 = 4,544.32 : x
  2. Step 2: Convert to fraction form
    7,688.74/10,609.90 = 4,544.32/x
  3. Step 3: Cross multiply
    7,688.74x = 10,609.90 × 4,544.32
  4. Step 4: Simplify right side
    7,688.74x = 48,214,780.77
  5. Step 5: Solve for x
    x = 48,214,780.77/7,688.74
  6. Step 6: Final answer
    x = 6,270.83

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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.