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Finding the Fourth Proportional to 8,193.61, 11,307.26 and 4,656.85

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Solution

The fourth proportional to 8,193.61, 11,307.26 and 4,656.85 is: 6,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.61 : 11,307.26 = 4,656.85 : x
  2. Step 2: Convert to fraction form
    8,193.61/11,307.26 = 4,656.85/x
  3. Step 3: Cross multiply
    8,193.61x = 11,307.26 × 4,656.85
  4. Step 4: Simplify right side
    8,193.61x = 52,656,197.10
  5. Step 5: Solve for x
    x = 52,656,197.10/8,193.61
  6. Step 6: Final answer
    x = 6,426.49

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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.