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Finding the Fourth Proportional to 7,265.84, 10,897.80 and 2,072.16

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Solution

The fourth proportional to 7,265.84, 10,897.80 and 2,072.16 is: 3,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.84 : 10,897.80 = 2,072.16 : x
  2. Step 2: Convert to fraction form
    7,265.84/10,897.80 = 2,072.16/x
  3. Step 3: Cross multiply
    7,265.84x = 10,897.80 × 2,072.16
  4. Step 4: Simplify right side
    7,265.84x = 22,581,985.25
  5. Step 5: Solve for x
    x = 22,581,985.25/7,265.84
  6. Step 6: Final answer
    x = 3,107.97

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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.