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Finding the Fourth Proportional to 8,544.84, 11,792.16 and 4,959.52

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Solution

The fourth proportional to 8,544.84, 11,792.16 and 4,959.52 is: 6,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.84 : 11,792.16 = 4,959.52 : x
  2. Step 2: Convert to fraction form
    8,544.84/11,792.16 = 4,959.52/x
  3. Step 3: Cross multiply
    8,544.84x = 11,792.16 × 4,959.52
  4. Step 4: Simplify right side
    8,544.84x = 58,483,453.36
  5. Step 5: Solve for x
    x = 58,483,453.36/8,544.84
  6. Step 6: Final answer
    x = 6,844.30

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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.