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Finding the Fourth Proportional to 10,886.63, 15,023.54 and 6,171.21

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Solution

The fourth proportional to 10,886.63, 15,023.54 and 6,171.21 is: 8,516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.63 : 15,023.54 = 6,171.21 : x
  2. Step 2: Convert to fraction form
    10,886.63/15,023.54 = 6,171.21/x
  3. Step 3: Cross multiply
    10,886.63x = 15,023.54 × 6,171.21
  4. Step 4: Simplify right side
    10,886.63x = 92,713,435.71
  5. Step 5: Solve for x
    x = 92,713,435.71/10,886.63
  6. Step 6: Final answer
    x = 8,516.27

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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.