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Finding the Fourth Proportional to 10,261.01, 14,161.53 and 5,786.16

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Solution

The fourth proportional to 10,261.01, 14,161.53 and 5,786.16 is: 7,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.01 : 14,161.53 = 5,786.16 : x
  2. Step 2: Convert to fraction form
    10,261.01/14,161.53 = 5,786.16/x
  3. Step 3: Cross multiply
    10,261.01x = 14,161.53 × 5,786.16
  4. Step 4: Simplify right side
    10,261.01x = 81,940,878.42
  5. Step 5: Solve for x
    x = 81,940,878.42/10,261.01
  6. Step 6: Final answer
    x = 7,985.66

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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.