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Finding the Fourth Proportional to 7,558.84, 10,431.18 and 4,201.64

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Solution

The fourth proportional to 7,558.84, 10,431.18 and 4,201.64 is: 5,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.84 : 10,431.18 = 4,201.64 : x
  2. Step 2: Convert to fraction form
    7,558.84/10,431.18 = 4,201.64/x
  3. Step 3: Cross multiply
    7,558.84x = 10,431.18 × 4,201.64
  4. Step 4: Simplify right side
    7,558.84x = 43,828,063.14
  5. Step 5: Solve for x
    x = 43,828,063.14/7,558.84
  6. Step 6: Final answer
    x = 5,798.25

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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.