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Finding the Fourth Proportional to 7,265.53, 10,894.51 and 2,584.86

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Solution

The fourth proportional to 7,265.53, 10,894.51 and 2,584.86 is: 3,875.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.53 : 10,894.51 = 2,584.86 : x
  2. Step 2: Convert to fraction form
    7,265.53/10,894.51 = 2,584.86/x
  3. Step 3: Cross multiply
    7,265.53x = 10,894.51 × 2,584.86
  4. Step 4: Simplify right side
    7,265.53x = 28,160,776.66
  5. Step 5: Solve for x
    x = 28,160,776.66/7,265.53
  6. Step 6: Final answer
    x = 3,875.94

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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.