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Finding the Fourth Proportional to 11,306.70, 15,601.23 and 6,827.46

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Solution

The fourth proportional to 11,306.70, 15,601.23 and 6,827.46 is: 9,420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.70 : 15,601.23 = 6,827.46 : x
  2. Step 2: Convert to fraction form
    11,306.70/15,601.23 = 6,827.46/x
  3. Step 3: Cross multiply
    11,306.70x = 15,601.23 × 6,827.46
  4. Step 4: Simplify right side
    11,306.70x = 106,516,740.87
  5. Step 5: Solve for x
    x = 106,516,740.87/11,306.70
  6. Step 6: Final answer
    x = 9,420.67

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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.