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Finding the Fourth Proportional to 7,114.17, 10,675.86 and 3,218.61

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Solution

The fourth proportional to 7,114.17, 10,675.86 and 3,218.61 is: 4,830.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.17 : 10,675.86 = 3,218.61 : x
  2. Step 2: Convert to fraction form
    7,114.17/10,675.86 = 3,218.61/x
  3. Step 3: Cross multiply
    7,114.17x = 10,675.86 × 3,218.61
  4. Step 4: Simplify right side
    7,114.17x = 34,361,429.75
  5. Step 5: Solve for x
    x = 34,361,429.75/7,114.17
  6. Step 6: Final answer
    x = 4,830.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.