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Finding the Fourth Proportional to 11,133.16, 15,364.26 and 6,165.16

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Solution

The fourth proportional to 11,133.16, 15,364.26 and 6,165.16 is: 8,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.16 : 15,364.26 = 6,165.16 : x
  2. Step 2: Convert to fraction form
    11,133.16/15,364.26 = 6,165.16/x
  3. Step 3: Cross multiply
    11,133.16x = 15,364.26 × 6,165.16
  4. Step 4: Simplify right side
    11,133.16x = 94,723,121.18
  5. Step 5: Solve for x
    x = 94,723,121.18/11,133.16
  6. Step 6: Final answer
    x = 8,508.20

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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.