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Finding the Fourth Proportional to 10,472.64, 14,450.40 and 7,684.80

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Solution

The fourth proportional to 10,472.64, 14,450.40 and 7,684.80 is: 10,603.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.64 : 14,450.40 = 7,684.80 : x
  2. Step 2: Convert to fraction form
    10,472.64/14,450.40 = 7,684.80/x
  3. Step 3: Cross multiply
    10,472.64x = 14,450.40 × 7,684.80
  4. Step 4: Simplify right side
    10,472.64x = 111,048,433.92
  5. Step 5: Solve for x
    x = 111,048,433.92/10,472.64
  6. Step 6: Final answer
    x = 10,603.67

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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.