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Finding the Fourth Proportional to 7,184.06, 10,765.10 and 4,835.38

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Solution

The fourth proportional to 7,184.06, 10,765.10 and 4,835.38 is: 7,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.06 : 10,765.10 = 4,835.38 : x
  2. Step 2: Convert to fraction form
    7,184.06/10,765.10 = 4,835.38/x
  3. Step 3: Cross multiply
    7,184.06x = 10,765.10 × 4,835.38
  4. Step 4: Simplify right side
    7,184.06x = 52,053,349.24
  5. Step 5: Solve for x
    x = 52,053,349.24/7,184.06
  6. Step 6: Final answer
    x = 7,245.67

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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.