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Finding the Fourth Proportional to 7,265.44, 10,898.16 and 2,071.31

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Solution

The fourth proportional to 7,265.44, 10,898.16 and 2,071.31 is: 3,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.44 : 10,898.16 = 2,071.31 : x
  2. Step 2: Convert to fraction form
    7,265.44/10,898.16 = 2,071.31/x
  3. Step 3: Cross multiply
    7,265.44x = 10,898.16 × 2,071.31
  4. Step 4: Simplify right side
    7,265.44x = 22,573,495.04
  5. Step 5: Solve for x
    x = 22,573,495.04/7,265.44
  6. Step 6: Final answer
    x = 3,106.97

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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.