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Finding the Fourth Proportional to 7,894.90, 11,842.98 and 2,348.14

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Solution

The fourth proportional to 7,894.90, 11,842.98 and 2,348.14 is: 3,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.90 : 11,842.98 = 2,348.14 : x
  2. Step 2: Convert to fraction form
    7,894.90/11,842.98 = 2,348.14/x
  3. Step 3: Cross multiply
    7,894.90x = 11,842.98 × 2,348.14
  4. Step 4: Simplify right side
    7,894.90x = 27,808,975.06
  5. Step 5: Solve for x
    x = 27,808,975.06/7,894.90
  6. Step 6: Final answer
    x = 3,522.40

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Why These Related Problems?

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