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Finding the Fourth Proportional to 11,613.02, 16,019.83 and 7,356.57

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Solution

The fourth proportional to 11,613.02, 16,019.83 and 7,356.57 is: 10,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.02 : 16,019.83 = 7,356.57 : x
  2. Step 2: Convert to fraction form
    11,613.02/16,019.83 = 7,356.57/x
  3. Step 3: Cross multiply
    11,613.02x = 16,019.83 × 7,356.57
  4. Step 4: Simplify right side
    11,613.02x = 117,850,998.64
  5. Step 5: Solve for x
    x = 117,850,998.64/11,613.02
  6. Step 6: Final answer
    x = 10,148.18

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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.