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Finding the Fourth Proportional to 10,265.40, 15,370.02 and 7,138.80

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Solution

The fourth proportional to 10,265.40, 15,370.02 and 7,138.80 is: 10,688.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.40 : 15,370.02 = 7,138.80 : x
  2. Step 2: Convert to fraction form
    10,265.40/15,370.02 = 7,138.80/x
  3. Step 3: Cross multiply
    10,265.40x = 15,370.02 × 7,138.80
  4. Step 4: Simplify right side
    10,265.40x = 109,723,498.78
  5. Step 5: Solve for x
    x = 109,723,498.78/10,265.40
  6. Step 6: Final answer
    x = 10,688.67

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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.