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Finding the Fourth Proportional to 11,572.96, 15,967.92 and 6,856.42

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Solution

The fourth proportional to 11,572.96, 15,967.92 and 6,856.42 is: 9,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.96 : 15,967.92 = 6,856.42 : x
  2. Step 2: Convert to fraction form
    11,572.96/15,967.92 = 6,856.42/x
  3. Step 3: Cross multiply
    11,572.96x = 15,967.92 × 6,856.42
  4. Step 4: Simplify right side
    11,572.96x = 109,482,766.05
  5. Step 5: Solve for x
    x = 109,482,766.05/11,572.96
  6. Step 6: Final answer
    x = 9,460.22

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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.