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Finding the Fourth Proportional to 10,131.48, 15,197.22 and 5,689.44

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Solution

The fourth proportional to 10,131.48, 15,197.22 and 5,689.44 is: 8,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.48 : 15,197.22 = 5,689.44 : x
  2. Step 2: Convert to fraction form
    10,131.48/15,197.22 = 5,689.44/x
  3. Step 3: Cross multiply
    10,131.48x = 15,197.22 × 5,689.44
  4. Step 4: Simplify right side
    10,131.48x = 86,463,671.36
  5. Step 5: Solve for x
    x = 86,463,671.36/10,131.48
  6. Step 6: Final answer
    x = 8,534.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.