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Finding the Fourth Proportional to 7,098.16, 9,791.04 and 5,077.84

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Solution

The fourth proportional to 7,098.16, 9,791.04 and 5,077.84 is: 7,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.16 : 9,791.04 = 5,077.84 : x
  2. Step 2: Convert to fraction form
    7,098.16/9,791.04 = 5,077.84/x
  3. Step 3: Cross multiply
    7,098.16x = 9,791.04 × 5,077.84
  4. Step 4: Simplify right side
    7,098.16x = 49,717,334.55
  5. Step 5: Solve for x
    x = 49,717,334.55/7,098.16
  6. Step 6: Final answer
    x = 7,004.26

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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.