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Finding the Fourth Proportional to 8,410.60, 12,615.90 and 8,237.80

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Solution

The fourth proportional to 8,410.60, 12,615.90 and 8,237.80 is: 12,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.60 : 12,615.90 = 8,237.80 : x
  2. Step 2: Convert to fraction form
    8,410.60/12,615.90 = 8,237.80/x
  3. Step 3: Cross multiply
    8,410.60x = 12,615.90 × 8,237.80
  4. Step 4: Simplify right side
    8,410.60x = 103,927,261.02
  5. Step 5: Solve for x
    x = 103,927,261.02/8,410.60
  6. Step 6: Final answer
    x = 12,356.70

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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.