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Finding the Fourth Proportional to 7,535.76, 10,399.34 and 4,223.76

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Solution

The fourth proportional to 7,535.76, 10,399.34 and 4,223.76 is: 5,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.76 : 10,399.34 = 4,223.76 : x
  2. Step 2: Convert to fraction form
    7,535.76/10,399.34 = 4,223.76/x
  3. Step 3: Cross multiply
    7,535.76x = 10,399.34 × 4,223.76
  4. Step 4: Simplify right side
    7,535.76x = 43,924,316.32
  5. Step 5: Solve for x
    x = 43,924,316.32/7,535.76
  6. Step 6: Final answer
    x = 5,828.78

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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.