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Finding the Fourth Proportional to 7,546.16, 10,414.94 and 4,402.34

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Solution

The fourth proportional to 7,546.16, 10,414.94 and 4,402.34 is: 6,075.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.16 : 10,414.94 = 4,402.34 : x
  2. Step 2: Convert to fraction form
    7,546.16/10,414.94 = 4,402.34/x
  3. Step 3: Cross multiply
    7,546.16x = 10,414.94 × 4,402.34
  4. Step 4: Simplify right side
    7,546.16x = 45,850,032.87
  5. Step 5: Solve for x
    x = 45,850,032.87/7,546.16
  6. Step 6: Final answer
    x = 6,075.95

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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.