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Finding the Fourth Proportional to 10,182.43, 15,245.93 and 7,709.77

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Solution

The fourth proportional to 10,182.43, 15,245.93 and 7,709.77 is: 11,543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.43 : 15,245.93 = 7,709.77 : x
  2. Step 2: Convert to fraction form
    10,182.43/15,245.93 = 7,709.77/x
  3. Step 3: Cross multiply
    10,182.43x = 15,245.93 × 7,709.77
  4. Step 4: Simplify right side
    10,182.43x = 117,542,575.19
  5. Step 5: Solve for x
    x = 117,542,575.19/10,182.43
  6. Step 6: Final answer
    x = 11,543.67

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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.