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Finding the Fourth Proportional to 7,265.91, 10,900.68 and 2,071.78

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Solution

The fourth proportional to 7,265.91, 10,900.68 and 2,071.78 is: 3,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.91 : 10,900.68 = 2,071.78 : x
  2. Step 2: Convert to fraction form
    7,265.91/10,900.68 = 2,071.78/x
  3. Step 3: Cross multiply
    7,265.91x = 10,900.68 × 2,071.78
  4. Step 4: Simplify right side
    7,265.91x = 22,583,810.81
  5. Step 5: Solve for x
    x = 22,583,810.81/7,265.91
  6. Step 6: Final answer
    x = 3,108.19

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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.