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Finding the Fourth Proportional to 8,283.84, 11,431.61 and 4,506.95

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Solution

The fourth proportional to 8,283.84, 11,431.61 and 4,506.95 is: 6,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.84 : 11,431.61 = 4,506.95 : x
  2. Step 2: Convert to fraction form
    8,283.84/11,431.61 = 4,506.95/x
  3. Step 3: Cross multiply
    8,283.84x = 11,431.61 × 4,506.95
  4. Step 4: Simplify right side
    8,283.84x = 51,521,631.90
  5. Step 5: Solve for x
    x = 51,521,631.90/8,283.84
  6. Step 6: Final answer
    x = 6,219.53

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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.