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Finding the Fourth Proportional to 7,184.70, 10,764.63 and 5,094.50

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Solution

The fourth proportional to 7,184.70, 10,764.63 and 5,094.50 is: 7,632.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.70 : 10,764.63 = 5,094.50 : x
  2. Step 2: Convert to fraction form
    7,184.70/10,764.63 = 5,094.50/x
  3. Step 3: Cross multiply
    7,184.70x = 10,764.63 × 5,094.50
  4. Step 4: Simplify right side
    7,184.70x = 54,840,353.71
  5. Step 5: Solve for x
    x = 54,840,353.71/7,184.70
  6. Step 6: Final answer
    x = 7,632.94

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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.