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Finding the Fourth Proportional to 7,853.70, 10,837.38 and 4,666.74

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Solution

The fourth proportional to 7,853.70, 10,837.38 and 4,666.74 is: 6,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.70 : 10,837.38 = 4,666.74 : x
  2. Step 2: Convert to fraction form
    7,853.70/10,837.38 = 4,666.74/x
  3. Step 3: Cross multiply
    7,853.70x = 10,837.38 × 4,666.74
  4. Step 4: Simplify right side
    7,853.70x = 50,575,234.74
  5. Step 5: Solve for x
    x = 50,575,234.74/7,853.70
  6. Step 6: Final answer
    x = 6,439.67

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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.