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Finding the Fourth Proportional to 7,897.84, 11,842.62 and 2,350.42

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Solution

The fourth proportional to 7,897.84, 11,842.62 and 2,350.42 is: 3,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.84 : 11,842.62 = 2,350.42 : x
  2. Step 2: Convert to fraction form
    7,897.84/11,842.62 = 2,350.42/x
  3. Step 3: Cross multiply
    7,897.84x = 11,842.62 × 2,350.42
  4. Step 4: Simplify right side
    7,897.84x = 27,835,130.90
  5. Step 5: Solve for x
    x = 27,835,130.90/7,897.84
  6. Step 6: Final answer
    x = 3,524.40

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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.