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Finding the Fourth Proportional to 7,352.95, 10,146.54 and 4,166.31

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Solution

The fourth proportional to 7,352.95, 10,146.54 and 4,166.31 is: 5,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.95 : 10,146.54 = 4,166.31 : x
  2. Step 2: Convert to fraction form
    7,352.95/10,146.54 = 4,166.31/x
  3. Step 3: Cross multiply
    7,352.95x = 10,146.54 × 4,166.31
  4. Step 4: Simplify right side
    7,352.95x = 42,273,644.49
  5. Step 5: Solve for x
    x = 42,273,644.49/7,352.95
  6. Step 6: Final answer
    x = 5,749.21

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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.