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Finding the Fourth Proportional to 6,776.34, 10,156.05 and 3,077.52

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Solution

The fourth proportional to 6,776.34, 10,156.05 and 3,077.52 is: 4,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.34 : 10,156.05 = 3,077.52 : x
  2. Step 2: Convert to fraction form
    6,776.34/10,156.05 = 3,077.52/x
  3. Step 3: Cross multiply
    6,776.34x = 10,156.05 × 3,077.52
  4. Step 4: Simplify right side
    6,776.34x = 31,255,447.00
  5. Step 5: Solve for x
    x = 31,255,447.00/6,776.34
  6. Step 6: Final answer
    x = 4,612.44

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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.