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Finding the Fourth Proportional to 7,901.84, 11,850.32 and 2,354.16

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Solution

The fourth proportional to 7,901.84, 11,850.32 and 2,354.16 is: 3,530.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.84 : 11,850.32 = 2,354.16 : x
  2. Step 2: Convert to fraction form
    7,901.84/11,850.32 = 2,354.16/x
  3. Step 3: Cross multiply
    7,901.84x = 11,850.32 × 2,354.16
  4. Step 4: Simplify right side
    7,901.84x = 27,897,549.33
  5. Step 5: Solve for x
    x = 27,897,549.33/7,901.84
  6. Step 6: Final answer
    x = 3,530.51

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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.