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Finding the Fourth Proportional to 10,400.40, 14,352.50 and 5,684.67

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Solution

The fourth proportional to 10,400.40, 14,352.50 and 5,684.67 is: 7,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.40 : 14,352.50 = 5,684.67 : x
  2. Step 2: Convert to fraction form
    10,400.40/14,352.50 = 5,684.67/x
  3. Step 3: Cross multiply
    10,400.40x = 14,352.50 × 5,684.67
  4. Step 4: Simplify right side
    10,400.40x = 81,589,240.39
  5. Step 5: Solve for x
    x = 81,589,240.39/10,400.40
  6. Step 6: Final answer
    x = 7,844.82

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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.