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Finding the Fourth Proportional to 8,302.40, 11,465.37 and 7,100.36

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Solution

The fourth proportional to 8,302.40, 11,465.37 and 7,100.36 is: 9,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.40 : 11,465.37 = 7,100.36 : x
  2. Step 2: Convert to fraction form
    8,302.40/11,465.37 = 7,100.36/x
  3. Step 3: Cross multiply
    8,302.40x = 11,465.37 × 7,100.36
  4. Step 4: Simplify right side
    8,302.40x = 81,408,197.21
  5. Step 5: Solve for x
    x = 81,408,197.21/8,302.40
  6. Step 6: Final answer
    x = 9,805.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.