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Finding the Fourth Proportional to 10,112.64, 13,956.52 and 5,924.40

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Solution

The fourth proportional to 10,112.64, 13,956.52 and 5,924.40 is: 8,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.64 : 13,956.52 = 5,924.40 : x
  2. Step 2: Convert to fraction form
    10,112.64/13,956.52 = 5,924.40/x
  3. Step 3: Cross multiply
    10,112.64x = 13,956.52 × 5,924.40
  4. Step 4: Simplify right side
    10,112.64x = 82,684,007.09
  5. Step 5: Solve for x
    x = 82,684,007.09/10,112.64
  6. Step 6: Final answer
    x = 8,176.30

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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.