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Finding the Fourth Proportional to 8,429.60, 11,617.34 and 6,756.54

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Solution

The fourth proportional to 8,429.60, 11,617.34 and 6,756.54 is: 9,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.60 : 11,617.34 = 6,756.54 : x
  2. Step 2: Convert to fraction form
    8,429.60/11,617.34 = 6,756.54/x
  3. Step 3: Cross multiply
    8,429.60x = 11,617.34 × 6,756.54
  4. Step 4: Simplify right side
    8,429.60x = 78,492,988.62
  5. Step 5: Solve for x
    x = 78,492,988.62/8,429.60
  6. Step 6: Final answer
    x = 9,311.60

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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.