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Finding the Fourth Proportional to 10,857.74, 14,985.41 and 6,382.58

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Solution

The fourth proportional to 10,857.74, 14,985.41 and 6,382.58 is: 8,808.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.74 : 14,985.41 = 6,382.58 : x
  2. Step 2: Convert to fraction form
    10,857.74/14,985.41 = 6,382.58/x
  3. Step 3: Cross multiply
    10,857.74x = 14,985.41 × 6,382.58
  4. Step 4: Simplify right side
    10,857.74x = 95,645,471.32
  5. Step 5: Solve for x
    x = 95,645,471.32/10,857.74
  6. Step 6: Final answer
    x = 8,808.97

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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.