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Finding the Fourth Proportional to 8,304.29, 11,458.99 and 4,946.63

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Solution

The fourth proportional to 8,304.29, 11,458.99 and 4,946.63 is: 6,825.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.29 : 11,458.99 = 4,946.63 : x
  2. Step 2: Convert to fraction form
    8,304.29/11,458.99 = 4,946.63/x
  3. Step 3: Cross multiply
    8,304.29x = 11,458.99 × 4,946.63
  4. Step 4: Simplify right side
    8,304.29x = 56,683,383.70
  5. Step 5: Solve for x
    x = 56,683,383.70/8,304.29
  6. Step 6: Final answer
    x = 6,825.80

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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.