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Finding the Fourth Proportional to 7,367.49, 10,165.10 and 4,223.07

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Solution

The fourth proportional to 7,367.49, 10,165.10 and 4,223.07 is: 5,826.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367.49 : 10,165.10 = 4,223.07 : x
  2. Step 2: Convert to fraction form
    7,367.49/10,165.10 = 4,223.07/x
  3. Step 3: Cross multiply
    7,367.49x = 10,165.10 × 4,223.07
  4. Step 4: Simplify right side
    7,367.49x = 42,927,907.74
  5. Step 5: Solve for x
    x = 42,927,907.74/7,367.49
  6. Step 6: Final answer
    x = 5,826.67

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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.