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Finding the Fourth Proportional to 8,283.30, 11,429.08 and 6,046.40

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Solution

The fourth proportional to 8,283.30, 11,429.08 and 6,046.40 is: 8,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.30 : 11,429.08 = 6,046.40 : x
  2. Step 2: Convert to fraction form
    8,283.30/11,429.08 = 6,046.40/x
  3. Step 3: Cross multiply
    8,283.30x = 11,429.08 × 6,046.40
  4. Step 4: Simplify right side
    8,283.30x = 69,104,717.05
  5. Step 5: Solve for x
    x = 69,104,717.05/8,283.30
  6. Step 6: Final answer
    x = 8,342.66

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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.