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Finding the Fourth Proportional to 8,453.17, 11,662.53 and 4,913.47

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Solution

The fourth proportional to 8,453.17, 11,662.53 and 4,913.47 is: 6,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.17 : 11,662.53 = 4,913.47 : x
  2. Step 2: Convert to fraction form
    8,453.17/11,662.53 = 4,913.47/x
  3. Step 3: Cross multiply
    8,453.17x = 11,662.53 × 4,913.47
  4. Step 4: Simplify right side
    8,453.17x = 57,303,491.28
  5. Step 5: Solve for x
    x = 57,303,491.28/8,453.17
  6. Step 6: Final answer
    x = 6,778.94

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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.