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Finding the Fourth Proportional to 11,137.66, 16,707.32 and 3,742.16

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Solution

The fourth proportional to 11,137.66, 16,707.32 and 3,742.16 is: 5,613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.66 : 16,707.32 = 3,742.16 : x
  2. Step 2: Convert to fraction form
    11,137.66/16,707.32 = 3,742.16/x
  3. Step 3: Cross multiply
    11,137.66x = 16,707.32 × 3,742.16
  4. Step 4: Simplify right side
    11,137.66x = 62,521,464.61
  5. Step 5: Solve for x
    x = 62,521,464.61/11,137.66
  6. Step 6: Final answer
    x = 5,613.52

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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.