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Finding the Fourth Proportional to 10,113.58, 13,956.06 and 6,336.64

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Solution

The fourth proportional to 10,113.58, 13,956.06 and 6,336.64 is: 8,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.58 : 13,956.06 = 6,336.64 : x
  2. Step 2: Convert to fraction form
    10,113.58/13,956.06 = 6,336.64/x
  3. Step 3: Cross multiply
    10,113.58x = 13,956.06 × 6,336.64
  4. Step 4: Simplify right side
    10,113.58x = 88,434,528.04
  5. Step 5: Solve for x
    x = 88,434,528.04/10,113.58
  6. Step 6: Final answer
    x = 8,744.14

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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.