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Finding the Fourth Proportional to 6,297.57, 8,685.27 and 5,356.35

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Solution

The fourth proportional to 6,297.57, 8,685.27 and 5,356.35 is: 7,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.57 : 8,685.27 = 5,356.35 : x
  2. Step 2: Convert to fraction form
    6,297.57/8,685.27 = 5,356.35/x
  3. Step 3: Cross multiply
    6,297.57x = 8,685.27 × 5,356.35
  4. Step 4: Simplify right side
    6,297.57x = 46,521,345.96
  5. Step 5: Solve for x
    x = 46,521,345.96/6,297.57
  6. Step 6: Final answer
    x = 7,387.19

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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.