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Finding the Fourth Proportional to 7,084.67, 10,605.13 and 4,614.17

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Solution

The fourth proportional to 7,084.67, 10,605.13 and 4,614.17 is: 6,907.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.67 : 10,605.13 = 4,614.17 : x
  2. Step 2: Convert to fraction form
    7,084.67/10,605.13 = 4,614.17/x
  3. Step 3: Cross multiply
    7,084.67x = 10,605.13 × 4,614.17
  4. Step 4: Simplify right side
    7,084.67x = 48,933,808.13
  5. Step 5: Solve for x
    x = 48,933,808.13/7,084.67
  6. Step 6: Final answer
    x = 6,907.00

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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.