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Finding the Fourth Proportional to 7,894.19, 11,840.13 and 2,346.50

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Solution

The fourth proportional to 7,894.19, 11,840.13 and 2,346.50 is: 3,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.19 : 11,840.13 = 2,346.50 : x
  2. Step 2: Convert to fraction form
    7,894.19/11,840.13 = 2,346.50/x
  3. Step 3: Cross multiply
    7,894.19x = 11,840.13 × 2,346.50
  4. Step 4: Simplify right side
    7,894.19x = 27,782,805.84
  5. Step 5: Solve for x
    x = 27,782,805.84/7,894.19
  6. Step 6: Final answer
    x = 3,519.40

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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.