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Finding the Fourth Proportional to 7,509.34, 11,247.61 and 3,805.21

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Solution

The fourth proportional to 7,509.34, 11,247.61 and 3,805.21 is: 5,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.34 : 11,247.61 = 3,805.21 : x
  2. Step 2: Convert to fraction form
    7,509.34/11,247.61 = 3,805.21/x
  3. Step 3: Cross multiply
    7,509.34x = 11,247.61 × 3,805.21
  4. Step 4: Simplify right side
    7,509.34x = 42,799,518.05
  5. Step 5: Solve for x
    x = 42,799,518.05/7,509.34
  6. Step 6: Final answer
    x = 5,699.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.