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Finding the Fourth Proportional to 6,353.26, 8,765.57 and 4,117.77

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Solution

The fourth proportional to 6,353.26, 8,765.57 and 4,117.77 is: 5,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.26 : 8,765.57 = 4,117.77 : x
  2. Step 2: Convert to fraction form
    6,353.26/8,765.57 = 4,117.77/x
  3. Step 3: Cross multiply
    6,353.26x = 8,765.57 × 4,117.77
  4. Step 4: Simplify right side
    6,353.26x = 36,094,611.47
  5. Step 5: Solve for x
    x = 36,094,611.47/6,353.26
  6. Step 6: Final answer
    x = 5,681.28

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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.