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Finding the Fourth Proportional to 7,309.84, 10,084.16 and 4,791.28

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Solution

The fourth proportional to 7,309.84, 10,084.16 and 4,791.28 is: 6,609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.84 : 10,084.16 = 4,791.28 : x
  2. Step 2: Convert to fraction form
    7,309.84/10,084.16 = 4,791.28/x
  3. Step 3: Cross multiply
    7,309.84x = 10,084.16 × 4,791.28
  4. Step 4: Simplify right side
    7,309.84x = 48,316,034.12
  5. Step 5: Solve for x
    x = 48,316,034.12/7,309.84
  6. Step 6: Final answer
    x = 6,609.73

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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.