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Finding the Fourth Proportional to 8,490.78, 12,735.63 and 5,204.34

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Solution

The fourth proportional to 8,490.78, 12,735.63 and 5,204.34 is: 7,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.78 : 12,735.63 = 5,204.34 : x
  2. Step 2: Convert to fraction form
    8,490.78/12,735.63 = 5,204.34/x
  3. Step 3: Cross multiply
    8,490.78x = 12,735.63 × 5,204.34
  4. Step 4: Simplify right side
    8,490.78x = 66,280,548.63
  5. Step 5: Solve for x
    x = 66,280,548.63/8,490.78
  6. Step 6: Final answer
    x = 7,806.18

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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.