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Finding the Fourth Proportional to 10,016.65, 13,827.81 and 6,665.05

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Solution

The fourth proportional to 10,016.65, 13,827.81 and 6,665.05 is: 9,200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.65 : 13,827.81 = 6,665.05 : x
  2. Step 2: Convert to fraction form
    10,016.65/13,827.81 = 6,665.05/x
  3. Step 3: Cross multiply
    10,016.65x = 13,827.81 × 6,665.05
  4. Step 4: Simplify right side
    10,016.65x = 92,163,045.04
  5. Step 5: Solve for x
    x = 92,163,045.04/10,016.65
  6. Step 6: Final answer
    x = 9,200.98

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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.