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Finding the Fourth Proportional to 7,265.03, 10,893.76 and 2,584.36

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Solution

The fourth proportional to 7,265.03, 10,893.76 and 2,584.36 is: 3,875.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.03 : 10,893.76 = 2,584.36 : x
  2. Step 2: Convert to fraction form
    7,265.03/10,893.76 = 2,584.36/x
  3. Step 3: Cross multiply
    7,265.03x = 10,893.76 × 2,584.36
  4. Step 4: Simplify right side
    7,265.03x = 28,153,397.59
  5. Step 5: Solve for x
    x = 28,153,397.59/7,265.03
  6. Step 6: Final answer
    x = 3,875.19

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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.