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Finding the Fourth Proportional to 7,559.46, 10,431.45 and 4,202.28

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Solution

The fourth proportional to 7,559.46, 10,431.45 and 4,202.28 is: 5,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.46 : 10,431.45 = 4,202.28 : x
  2. Step 2: Convert to fraction form
    7,559.46/10,431.45 = 4,202.28/x
  3. Step 3: Cross multiply
    7,559.46x = 10,431.45 × 4,202.28
  4. Step 4: Simplify right side
    7,559.46x = 43,835,873.71
  5. Step 5: Solve for x
    x = 43,835,873.71/7,559.46
  6. Step 6: Final answer
    x = 5,798.81

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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.