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Finding the Fourth Proportional to 10,756.57, 16,134.81 and 7,057.91

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Solution

The fourth proportional to 10,756.57, 16,134.81 and 7,057.91 is: 10,586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.57 : 16,134.81 = 7,057.91 : x
  2. Step 2: Convert to fraction form
    10,756.57/16,134.81 = 7,057.91/x
  3. Step 3: Cross multiply
    10,756.57x = 16,134.81 × 7,057.91
  4. Step 4: Simplify right side
    10,756.57x = 113,878,036.85
  5. Step 5: Solve for x
    x = 113,878,036.85/10,756.57
  6. Step 6: Final answer
    x = 10,586.84

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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.