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Finding the Fourth Proportional to 7,534.17, 11,302.16 and 2,604.92

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Solution

The fourth proportional to 7,534.17, 11,302.16 and 2,604.92 is: 3,907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.17 : 11,302.16 = 2,604.92 : x
  2. Step 2: Convert to fraction form
    7,534.17/11,302.16 = 2,604.92/x
  3. Step 3: Cross multiply
    7,534.17x = 11,302.16 × 2,604.92
  4. Step 4: Simplify right side
    7,534.17x = 29,441,153.09
  5. Step 5: Solve for x
    x = 29,441,153.09/7,534.17
  6. Step 6: Final answer
    x = 3,907.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.