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Finding the Fourth Proportional to 7,777.28, 11,666.52 and 3,830.66

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Solution

The fourth proportional to 7,777.28, 11,666.52 and 3,830.66 is: 5,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.28 : 11,666.52 = 3,830.66 : x
  2. Step 2: Convert to fraction form
    7,777.28/11,666.52 = 3,830.66/x
  3. Step 3: Cross multiply
    7,777.28x = 11,666.52 × 3,830.66
  4. Step 4: Simplify right side
    7,777.28x = 44,690,427.54
  5. Step 5: Solve for x
    x = 44,690,427.54/7,777.28
  6. Step 6: Final answer
    x = 5,746.28

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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.