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Finding the Fourth Proportional to 10,201.64, 14,081.78 and 6,431.16

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Solution

The fourth proportional to 10,201.64, 14,081.78 and 6,431.16 is: 8,877.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.64 : 14,081.78 = 6,431.16 : x
  2. Step 2: Convert to fraction form
    10,201.64/14,081.78 = 6,431.16/x
  3. Step 3: Cross multiply
    10,201.64x = 14,081.78 × 6,431.16
  4. Step 4: Simplify right side
    10,201.64x = 90,562,148.11
  5. Step 5: Solve for x
    x = 90,562,148.11/10,201.64
  6. Step 6: Final answer
    x = 8,877.21

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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.