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Finding the Fourth Proportional to 10,266.16, 14,168.04 and 7,743.82

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Solution

The fourth proportional to 10,266.16, 14,168.04 and 7,743.82 is: 10,687.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.16 : 14,168.04 = 7,743.82 : x
  2. Step 2: Convert to fraction form
    10,266.16/14,168.04 = 7,743.82/x
  3. Step 3: Cross multiply
    10,266.16x = 14,168.04 × 7,743.82
  4. Step 4: Simplify right side
    10,266.16x = 109,714,751.51
  5. Step 5: Solve for x
    x = 109,714,751.51/10,266.16
  6. Step 6: Final answer
    x = 10,687.03

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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.