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Finding the Fourth Proportional to 8,283.68, 11,429.60 and 6,046.77

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Solution

The fourth proportional to 8,283.68, 11,429.60 and 6,046.77 is: 8,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.68 : 11,429.60 = 6,046.77 : x
  2. Step 2: Convert to fraction form
    8,283.68/11,429.60 = 6,046.77/x
  3. Step 3: Cross multiply
    8,283.68x = 11,429.60 × 6,046.77
  4. Step 4: Simplify right side
    8,283.68x = 69,112,132.16
  5. Step 5: Solve for x
    x = 69,112,132.16/8,283.68
  6. Step 6: Final answer
    x = 8,343.17

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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.