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Finding the Fourth Proportional to 7,461.40, 11,192 and 1,914.72

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Solution

The fourth proportional to 7,461.40, 11,192 and 1,914.72 is: 2,872.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.40 : 11,192 = 1,914.72 : x
  2. Step 2: Convert to fraction form
    7,461.40/11,192 = 1,914.72/x
  3. Step 3: Cross multiply
    7,461.40x = 11,192 × 1,914.72
  4. Step 4: Simplify right side
    7,461.40x = 21,429,546.24
  5. Step 5: Solve for x
    x = 21,429,546.24/7,461.40
  6. Step 6: Final answer
    x = 2,872.05

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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.