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Finding the Fourth Proportional to 8,283.02, 12,417.50 and 3,599.50

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Solution

The fourth proportional to 8,283.02, 12,417.50 and 3,599.50 is: 5,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.02 : 12,417.50 = 3,599.50 : x
  2. Step 2: Convert to fraction form
    8,283.02/12,417.50 = 3,599.50/x
  3. Step 3: Cross multiply
    8,283.02x = 12,417.50 × 3,599.50
  4. Step 4: Simplify right side
    8,283.02x = 44,696,791.25
  5. Step 5: Solve for x
    x = 44,696,791.25/8,283.02
  6. Step 6: Final answer
    x = 5,396.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.