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Finding the Fourth Proportional to 8,283.40, 11,431.28 and 4,506.80

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Solution

The fourth proportional to 8,283.40, 11,431.28 and 4,506.80 is: 6,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.40 : 11,431.28 = 4,506.80 : x
  2. Step 2: Convert to fraction form
    8,283.40/11,431.28 = 4,506.80/x
  3. Step 3: Cross multiply
    8,283.40x = 11,431.28 × 4,506.80
  4. Step 4: Simplify right side
    8,283.40x = 51,518,492.70
  5. Step 5: Solve for x
    x = 51,518,492.70/8,283.40
  6. Step 6: Final answer
    x = 6,219.49

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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.