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Finding the Fourth Proportional to 10,416.96, 15,616.88 and 4,867.56

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Solution

The fourth proportional to 10,416.96, 15,616.88 and 4,867.56 is: 7,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.96 : 15,616.88 = 4,867.56 : x
  2. Step 2: Convert to fraction form
    10,416.96/15,616.88 = 4,867.56/x
  3. Step 3: Cross multiply
    10,416.96x = 15,616.88 × 4,867.56
  4. Step 4: Simplify right side
    10,416.96x = 76,016,100.41
  5. Step 5: Solve for x
    x = 76,016,100.41/10,416.96
  6. Step 6: Final answer
    x = 7,297.34

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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.