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Finding the Fourth Proportional to 10,016.86, 13,807.34 and 7,889.02

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Solution

The fourth proportional to 10,016.86, 13,807.34 and 7,889.02 is: 10,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.86 : 13,807.34 = 7,889.02 : x
  2. Step 2: Convert to fraction form
    10,016.86/13,807.34 = 7,889.02/x
  3. Step 3: Cross multiply
    10,016.86x = 13,807.34 × 7,889.02
  4. Step 4: Simplify right side
    10,016.86x = 108,926,381.41
  5. Step 5: Solve for x
    x = 108,926,381.41/10,016.86
  6. Step 6: Final answer
    x = 10,874.30

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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.