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Finding the Fourth Proportional to 10,697.16, 14,761.24 and 6,448.44

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Solution

The fourth proportional to 10,697.16, 14,761.24 and 6,448.44 is: 8,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.16 : 14,761.24 = 6,448.44 : x
  2. Step 2: Convert to fraction form
    10,697.16/14,761.24 = 6,448.44/x
  3. Step 3: Cross multiply
    10,697.16x = 14,761.24 × 6,448.44
  4. Step 4: Simplify right side
    10,697.16x = 95,186,970.47
  5. Step 5: Solve for x
    x = 95,186,970.47/10,697.16
  6. Step 6: Final answer
    x = 8,898.34

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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.