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Finding the Fourth Proportional to 10,657.36, 14,714.42 and 6,889.65

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Solution

The fourth proportional to 10,657.36, 14,714.42 and 6,889.65 is: 9,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.36 : 14,714.42 = 6,889.65 : x
  2. Step 2: Convert to fraction form
    10,657.36/14,714.42 = 6,889.65/x
  3. Step 3: Cross multiply
    10,657.36x = 14,714.42 × 6,889.65
  4. Step 4: Simplify right side
    10,657.36x = 101,377,203.75
  5. Step 5: Solve for x
    x = 101,377,203.75/10,657.36
  6. Step 6: Final answer
    x = 9,512.41

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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.