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Finding the Fourth Proportional to 10,016.85, 13,807.35 and 7,889.01

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Solution

The fourth proportional to 10,016.85, 13,807.35 and 7,889.01 is: 10,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.85 : 13,807.35 = 7,889.01 : x
  2. Step 2: Convert to fraction form
    10,016.85/13,807.35 = 7,889.01/x
  3. Step 3: Cross multiply
    10,016.85x = 13,807.35 × 7,889.01
  4. Step 4: Simplify right side
    10,016.85x = 108,926,322.22
  5. Step 5: Solve for x
    x = 108,926,322.22/10,016.85
  6. Step 6: Final answer
    x = 10,874.31

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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.