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Finding the Fourth Proportional to 10,460.72, 15,671.29 and 8,109.20

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Solution

The fourth proportional to 10,460.72, 15,671.29 and 8,109.20 is: 12,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.72 : 15,671.29 = 8,109.20 : x
  2. Step 2: Convert to fraction form
    10,460.72/15,671.29 = 8,109.20/x
  3. Step 3: Cross multiply
    10,460.72x = 15,671.29 × 8,109.20
  4. Step 4: Simplify right side
    10,460.72x = 127,081,654.05
  5. Step 5: Solve for x
    x = 127,081,654.05/10,460.72
  6. Step 6: Final answer
    x = 12,148.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.