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Finding the Fourth Proportional to 7,733.98, 10,678.44 and 4,753.81

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Solution

The fourth proportional to 7,733.98, 10,678.44 and 4,753.81 is: 6,563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.98 : 10,678.44 = 4,753.81 : x
  2. Step 2: Convert to fraction form
    7,733.98/10,678.44 = 4,753.81/x
  3. Step 3: Cross multiply
    7,733.98x = 10,678.44 × 4,753.81
  4. Step 4: Simplify right side
    7,733.98x = 50,763,274.86
  5. Step 5: Solve for x
    x = 50,763,274.86/7,733.98
  6. Step 6: Final answer
    x = 6,563.67

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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.