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Finding the Fourth Proportional to 11,460.96, 15,812.88 and 6,424.80

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Solution

The fourth proportional to 11,460.96, 15,812.88 and 6,424.80 is: 8,864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.96 : 15,812.88 = 6,424.80 : x
  2. Step 2: Convert to fraction form
    11,460.96/15,812.88 = 6,424.80/x
  3. Step 3: Cross multiply
    11,460.96x = 15,812.88 × 6,424.80
  4. Step 4: Simplify right side
    11,460.96x = 101,594,591.42
  5. Step 5: Solve for x
    x = 101,594,591.42/11,460.96
  6. Step 6: Final answer
    x = 8,864.41

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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.