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Finding the Fourth Proportional to 6,178.12, 8,529.78 and 5,513.83

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Solution

The fourth proportional to 6,178.12, 8,529.78 and 5,513.83 is: 7,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.12 : 8,529.78 = 5,513.83 : x
  2. Step 2: Convert to fraction form
    6,178.12/8,529.78 = 5,513.83/x
  3. Step 3: Cross multiply
    6,178.12x = 8,529.78 × 5,513.83
  4. Step 4: Simplify right side
    6,178.12x = 47,031,756.86
  5. Step 5: Solve for x
    x = 47,031,756.86/6,178.12
  6. Step 6: Final answer
    x = 7,612.63

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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.