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Finding the Fourth Proportional to 7,265.50, 10,897.70 and 4,135.68

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Solution

The fourth proportional to 7,265.50, 10,897.70 and 4,135.68 is: 6,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.50 : 10,897.70 = 4,135.68 : x
  2. Step 2: Convert to fraction form
    7,265.50/10,897.70 = 4,135.68/x
  3. Step 3: Cross multiply
    7,265.50x = 10,897.70 × 4,135.68
  4. Step 4: Simplify right side
    7,265.50x = 45,069,379.26
  5. Step 5: Solve for x
    x = 45,069,379.26/7,265.50
  6. Step 6: Final answer
    x = 6,203.21

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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.