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Finding the Fourth Proportional to 8,295.36, 11,449.20 and 5,457.76

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Solution

The fourth proportional to 8,295.36, 11,449.20 and 5,457.76 is: 7,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.36 : 11,449.20 = 5,457.76 : x
  2. Step 2: Convert to fraction form
    8,295.36/11,449.20 = 5,457.76/x
  3. Step 3: Cross multiply
    8,295.36x = 11,449.20 × 5,457.76
  4. Step 4: Simplify right side
    8,295.36x = 62,486,985.79
  5. Step 5: Solve for x
    x = 62,486,985.79/8,295.36
  6. Step 6: Final answer
    x = 7,532.76

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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.