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Finding the Fourth Proportional to 7,263.64, 10,900.07 and 3,103.68

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Solution

The fourth proportional to 7,263.64, 10,900.07 and 3,103.68 is: 4,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.64 : 10,900.07 = 3,103.68 : x
  2. Step 2: Convert to fraction form
    7,263.64/10,900.07 = 3,103.68/x
  3. Step 3: Cross multiply
    7,263.64x = 10,900.07 × 3,103.68
  4. Step 4: Simplify right side
    7,263.64x = 33,830,329.26
  5. Step 5: Solve for x
    x = 33,830,329.26/7,263.64
  6. Step 6: Final answer
    x = 4,657.49

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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.