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Finding the Fourth Proportional to 8,157.25, 11,262.42 and 6,265.45

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Solution

The fourth proportional to 8,157.25, 11,262.42 and 6,265.45 is: 8,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.25 : 11,262.42 = 6,265.45 : x
  2. Step 2: Convert to fraction form
    8,157.25/11,262.42 = 6,265.45/x
  3. Step 3: Cross multiply
    8,157.25x = 11,262.42 × 6,265.45
  4. Step 4: Simplify right side
    8,157.25x = 70,564,041.75
  5. Step 5: Solve for x
    x = 70,564,041.75/8,157.25
  6. Step 6: Final answer
    x = 8,650.47

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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.