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Finding the Fourth Proportional to 7,381.86, 11,071.16 and 2,185.98

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Solution

The fourth proportional to 7,381.86, 11,071.16 and 2,185.98 is: 3,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.86 : 11,071.16 = 2,185.98 : x
  2. Step 2: Convert to fraction form
    7,381.86/11,071.16 = 2,185.98/x
  3. Step 3: Cross multiply
    7,381.86x = 11,071.16 × 2,185.98
  4. Step 4: Simplify right side
    7,381.86x = 24,201,334.34
  5. Step 5: Solve for x
    x = 24,201,334.34/7,381.86
  6. Step 6: Final answer
    x = 3,278.49

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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.