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Finding the Fourth Proportional to 10,431, 14,392.52 and 6,183.40

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Solution

The fourth proportional to 10,431, 14,392.52 and 6,183.40 is: 8,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431 : 14,392.52 = 6,183.40 : x
  2. Step 2: Convert to fraction form
    10,431/14,392.52 = 6,183.40/x
  3. Step 3: Cross multiply
    10,431x = 14,392.52 × 6,183.40
  4. Step 4: Simplify right side
    10,431x = 88,994,708.17
  5. Step 5: Solve for x
    x = 88,994,708.17/10,431
  6. Step 6: Final answer
    x = 8,531.75

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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.