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Finding the Fourth Proportional to 11,164.66, 15,401.42 and 6,624.70

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Solution

The fourth proportional to 11,164.66, 15,401.42 and 6,624.70 is: 9,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.66 : 15,401.42 = 6,624.70 : x
  2. Step 2: Convert to fraction form
    11,164.66/15,401.42 = 6,624.70/x
  3. Step 3: Cross multiply
    11,164.66x = 15,401.42 × 6,624.70
  4. Step 4: Simplify right side
    11,164.66x = 102,029,787.07
  5. Step 5: Solve for x
    x = 102,029,787.07/11,164.66
  6. Step 6: Final answer
    x = 9,138.64

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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.