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Finding the Fourth Proportional to 8,175.67, 11,281.98 and 4,640.02

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Solution

The fourth proportional to 8,175.67, 11,281.98 and 4,640.02 is: 6,402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.67 : 11,281.98 = 4,640.02 : x
  2. Step 2: Convert to fraction form
    8,175.67/11,281.98 = 4,640.02/x
  3. Step 3: Cross multiply
    8,175.67x = 11,281.98 × 4,640.02
  4. Step 4: Simplify right side
    8,175.67x = 52,348,612.84
  5. Step 5: Solve for x
    x = 52,348,612.84/8,175.67
  6. Step 6: Final answer
    x = 6,402.98

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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.