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Finding the Fourth Proportional to 11,305.16, 16,968.23 and 5,762.66

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Solution

The fourth proportional to 11,305.16, 16,968.23 and 5,762.66 is: 8,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.16 : 16,968.23 = 5,762.66 : x
  2. Step 2: Convert to fraction form
    11,305.16/16,968.23 = 5,762.66/x
  3. Step 3: Cross multiply
    11,305.16x = 16,968.23 × 5,762.66
  4. Step 4: Simplify right side
    11,305.16x = 97,782,197.12
  5. Step 5: Solve for x
    x = 97,782,197.12/11,305.16
  6. Step 6: Final answer
    x = 8,649.35

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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.