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Finding the Fourth Proportional to 7,166.75, 9,883.53 and 4,646.21

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Solution

The fourth proportional to 7,166.75, 9,883.53 and 4,646.21 is: 6,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.75 : 9,883.53 = 4,646.21 : x
  2. Step 2: Convert to fraction form
    7,166.75/9,883.53 = 4,646.21/x
  3. Step 3: Cross multiply
    7,166.75x = 9,883.53 × 4,646.21
  4. Step 4: Simplify right side
    7,166.75x = 45,920,906.50
  5. Step 5: Solve for x
    x = 45,920,906.50/7,166.75
  6. Step 6: Final answer
    x = 6,407.50

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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.