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Finding the Fourth Proportional to 7,381.16, 11,071.72 and 2,186.60

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Solution

The fourth proportional to 7,381.16, 11,071.72 and 2,186.60 is: 3,279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.16 : 11,071.72 = 2,186.60 : x
  2. Step 2: Convert to fraction form
    7,381.16/11,071.72 = 2,186.60/x
  3. Step 3: Cross multiply
    7,381.16x = 11,071.72 × 2,186.60
  4. Step 4: Simplify right side
    7,381.16x = 24,209,422.95
  5. Step 5: Solve for x
    x = 24,209,422.95/7,381.16
  6. Step 6: Final answer
    x = 3,279.89

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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.