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Finding the Fourth Proportional to 8,242.92, 11,369.52 and 5,097.24

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Solution

The fourth proportional to 8,242.92, 11,369.52 and 5,097.24 is: 7,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.92 : 11,369.52 = 5,097.24 : x
  2. Step 2: Convert to fraction form
    8,242.92/11,369.52 = 5,097.24/x
  3. Step 3: Cross multiply
    8,242.92x = 11,369.52 × 5,097.24
  4. Step 4: Simplify right side
    8,242.92x = 57,953,172.12
  5. Step 5: Solve for x
    x = 57,953,172.12/8,242.92
  6. Step 6: Final answer
    x = 7,030.66

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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.