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Finding the Fourth Proportional to 10,217.70, 15,332.47 and 4,294.12

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Solution

The fourth proportional to 10,217.70, 15,332.47 and 4,294.12 is: 6,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.70 : 15,332.47 = 4,294.12 : x
  2. Step 2: Convert to fraction form
    10,217.70/15,332.47 = 4,294.12/x
  3. Step 3: Cross multiply
    10,217.70x = 15,332.47 × 4,294.12
  4. Step 4: Simplify right side
    10,217.70x = 65,839,466.08
  5. Step 5: Solve for x
    x = 65,839,466.08/10,217.70
  6. Step 6: Final answer
    x = 6,443.67

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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.