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Finding the Fourth Proportional to 7,551.34, 10,420.54 and 4,194.30

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Solution

The fourth proportional to 7,551.34, 10,420.54 and 4,194.30 is: 5,787.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.34 : 10,420.54 = 4,194.30 : x
  2. Step 2: Convert to fraction form
    7,551.34/10,420.54 = 4,194.30/x
  3. Step 3: Cross multiply
    7,551.34x = 10,420.54 × 4,194.30
  4. Step 4: Simplify right side
    7,551.34x = 43,706,870.92
  5. Step 5: Solve for x
    x = 43,706,870.92/7,551.34
  6. Step 6: Final answer
    x = 5,787.96

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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.