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Finding the Fourth Proportional to 8,624.34, 12,942.18 and 4,731.48

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Solution

The fourth proportional to 8,624.34, 12,942.18 and 4,731.48 is: 7,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.34 : 12,942.18 = 4,731.48 : x
  2. Step 2: Convert to fraction form
    8,624.34/12,942.18 = 4,731.48/x
  3. Step 3: Cross multiply
    8,624.34x = 12,942.18 × 4,731.48
  4. Step 4: Simplify right side
    8,624.34x = 61,235,665.83
  5. Step 5: Solve for x
    x = 61,235,665.83/8,624.34
  6. Step 6: Final answer
    x = 7,100.33

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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.