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Finding the Fourth Proportional to 6,334.56, 8,742.24 and 5,152.32

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Solution

The fourth proportional to 6,334.56, 8,742.24 and 5,152.32 is: 7,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.56 : 8,742.24 = 5,152.32 : x
  2. Step 2: Convert to fraction form
    6,334.56/8,742.24 = 5,152.32/x
  3. Step 3: Cross multiply
    6,334.56x = 8,742.24 × 5,152.32
  4. Step 4: Simplify right side
    6,334.56x = 45,042,818.00
  5. Step 5: Solve for x
    x = 45,042,818.00/6,334.56
  6. Step 6: Final answer
    x = 7,110.65

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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.