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Finding the Fourth Proportional to 7,677.46, 11,507.74 and 2,996.61

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Solution

The fourth proportional to 7,677.46, 11,507.74 and 2,996.61 is: 4,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.46 : 11,507.74 = 2,996.61 : x
  2. Step 2: Convert to fraction form
    7,677.46/11,507.74 = 2,996.61/x
  3. Step 3: Cross multiply
    7,677.46x = 11,507.74 × 2,996.61
  4. Step 4: Simplify right side
    7,677.46x = 34,484,208.76
  5. Step 5: Solve for x
    x = 34,484,208.76/7,677.46
  6. Step 6: Final answer
    x = 4,491.62

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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.