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Finding the Fourth Proportional to 10,747.69, 16,122.65 and 2,956.50

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Solution

The fourth proportional to 10,747.69, 16,122.65 and 2,956.50 is: 4,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,747.69 : 16,122.65 = 2,956.50 : x
  2. Step 2: Convert to fraction form
    10,747.69/16,122.65 = 2,956.50/x
  3. Step 3: Cross multiply
    10,747.69x = 16,122.65 × 2,956.50
  4. Step 4: Simplify right side
    10,747.69x = 47,666,599.94
  5. Step 5: Solve for x
    x = 47,666,599.94/10,747.69
  6. Step 6: Final answer
    x = 4,435.06

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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.