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Finding the Fourth Proportional to 10,457.44, 15,686.20 and 4,906.92

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Solution

The fourth proportional to 10,457.44, 15,686.20 and 4,906.92 is: 7,360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.44 : 15,686.20 = 4,906.92 : x
  2. Step 2: Convert to fraction form
    10,457.44/15,686.20 = 4,906.92/x
  3. Step 3: Cross multiply
    10,457.44x = 15,686.20 × 4,906.92
  4. Step 4: Simplify right side
    10,457.44x = 76,970,928.50
  5. Step 5: Solve for x
    x = 76,970,928.50/10,457.44
  6. Step 6: Final answer
    x = 7,360.40

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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.