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Finding the Fourth Proportional to 10,463.16, 14,447.52 and 8,101.20

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Solution

The fourth proportional to 10,463.16, 14,447.52 and 8,101.20 is: 11,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.16 : 14,447.52 = 8,101.20 : x
  2. Step 2: Convert to fraction form
    10,463.16/14,447.52 = 8,101.20/x
  3. Step 3: Cross multiply
    10,463.16x = 14,447.52 × 8,101.20
  4. Step 4: Simplify right side
    10,463.16x = 117,042,249.02
  5. Step 5: Solve for x
    x = 117,042,249.02/10,463.16
  6. Step 6: Final answer
    x = 11,186.13

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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.