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Finding the Fourth Proportional to 6,377.65, 8,802.24 and 4,108.35

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Solution

The fourth proportional to 6,377.65, 8,802.24 and 4,108.35 is: 5,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.65 : 8,802.24 = 4,108.35 : x
  2. Step 2: Convert to fraction form
    6,377.65/8,802.24 = 4,108.35/x
  3. Step 3: Cross multiply
    6,377.65x = 8,802.24 × 4,108.35
  4. Step 4: Simplify right side
    6,377.65x = 36,162,665.10
  5. Step 5: Solve for x
    x = 36,162,665.10/6,377.65
  6. Step 6: Final answer
    x = 5,670.22

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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.