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Finding the Fourth Proportional to 7,551.36, 10,420.70 and 4,194.09

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Solution

The fourth proportional to 7,551.36, 10,420.70 and 4,194.09 is: 5,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.36 : 10,420.70 = 4,194.09 : x
  2. Step 2: Convert to fraction form
    7,551.36/10,420.70 = 4,194.09/x
  3. Step 3: Cross multiply
    7,551.36x = 10,420.70 × 4,194.09
  4. Step 4: Simplify right side
    7,551.36x = 43,705,332.69
  5. Step 5: Solve for x
    x = 43,705,332.69/7,551.36
  6. Step 6: Final answer
    x = 5,787.74

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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.