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Finding the Fourth Proportional to 6,776.46, 10,156.19 and 3,656.34

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Solution

The fourth proportional to 6,776.46, 10,156.19 and 3,656.34 is: 5,479.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.46 : 10,156.19 = 3,656.34 : x
  2. Step 2: Convert to fraction form
    6,776.46/10,156.19 = 3,656.34/x
  3. Step 3: Cross multiply
    6,776.46x = 10,156.19 × 3,656.34
  4. Step 4: Simplify right side
    6,776.46x = 37,134,465.46
  5. Step 5: Solve for x
    x = 37,134,465.46/6,776.46
  6. Step 6: Final answer
    x = 5,479.92

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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.