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Finding the Fourth Proportional to 8,177.66, 11,285.51 and 4,641.20

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Solution

The fourth proportional to 8,177.66, 11,285.51 and 4,641.20 is: 6,405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.66 : 11,285.51 = 4,641.20 : x
  2. Step 2: Convert to fraction form
    8,177.66/11,285.51 = 4,641.20/x
  3. Step 3: Cross multiply
    8,177.66x = 11,285.51 × 4,641.20
  4. Step 4: Simplify right side
    8,177.66x = 52,378,252.58
  5. Step 5: Solve for x
    x = 52,378,252.58/8,177.66
  6. Step 6: Final answer
    x = 6,405.05

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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.