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Finding the Fourth Proportional to 6,069.24, 8,370.54 and 5,127.24

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Solution

The fourth proportional to 6,069.24, 8,370.54 and 5,127.24 is: 7,071.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.24 : 8,370.54 = 5,127.24 : x
  2. Step 2: Convert to fraction form
    6,069.24/8,370.54 = 5,127.24/x
  3. Step 3: Cross multiply
    6,069.24x = 8,370.54 × 5,127.24
  4. Step 4: Simplify right side
    6,069.24x = 42,917,767.51
  5. Step 5: Solve for x
    x = 42,917,767.51/6,069.24
  6. Step 6: Final answer
    x = 7,071.36

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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.