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Finding the Fourth Proportional to 7,551.54, 10,420.26 and 4,193.46

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Solution

The fourth proportional to 7,551.54, 10,420.26 and 4,193.46 is: 5,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.54 : 10,420.26 = 4,193.46 : x
  2. Step 2: Convert to fraction form
    7,551.54/10,420.26 = 4,193.46/x
  3. Step 3: Cross multiply
    7,551.54x = 10,420.26 × 4,193.46
  4. Step 4: Simplify right side
    7,551.54x = 43,696,943.50
  5. Step 5: Solve for x
    x = 43,696,943.50/7,551.54
  6. Step 6: Final answer
    x = 5,786.49

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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.