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Finding the Fourth Proportional to 8,242.72, 11,369.72 and 5,410.28

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Solution

The fourth proportional to 8,242.72, 11,369.72 and 5,410.28 is: 7,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.72 : 11,369.72 = 5,410.28 : x
  2. Step 2: Convert to fraction form
    8,242.72/11,369.72 = 5,410.28/x
  3. Step 3: Cross multiply
    8,242.72x = 11,369.72 × 5,410.28
  4. Step 4: Simplify right side
    8,242.72x = 61,513,368.72
  5. Step 5: Solve for x
    x = 61,513,368.72/8,242.72
  6. Step 6: Final answer
    x = 7,462.75

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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.