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Finding the Fourth Proportional to 8,382.66, 12,557.79 and 6,533.16

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Solution

The fourth proportional to 8,382.66, 12,557.79 and 6,533.16 is: 9,787.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.66 : 12,557.79 = 6,533.16 : x
  2. Step 2: Convert to fraction form
    8,382.66/12,557.79 = 6,533.16/x
  3. Step 3: Cross multiply
    8,382.66x = 12,557.79 × 6,533.16
  4. Step 4: Simplify right side
    8,382.66x = 82,042,051.32
  5. Step 5: Solve for x
    x = 82,042,051.32/8,382.66
  6. Step 6: Final answer
    x = 9,787.11

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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.