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Finding the Fourth Proportional to 7,164.16, 10,754.88 and 4,245.76

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Solution

The fourth proportional to 7,164.16, 10,754.88 and 4,245.76 is: 6,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.16 : 10,754.88 = 4,245.76 : x
  2. Step 2: Convert to fraction form
    7,164.16/10,754.88 = 4,245.76/x
  3. Step 3: Cross multiply
    7,164.16x = 10,754.88 × 4,245.76
  4. Step 4: Simplify right side
    7,164.16x = 45,662,639.31
  5. Step 5: Solve for x
    x = 45,662,639.31/7,164.16
  6. Step 6: Final answer
    x = 6,373.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.