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Finding the Fourth Proportional to 10,002.63, 13,803.63 and 5,526.39

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Solution

The fourth proportional to 10,002.63, 13,803.63 and 5,526.39 is: 7,626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.63 : 13,803.63 = 5,526.39 : x
  2. Step 2: Convert to fraction form
    10,002.63/13,803.63 = 5,526.39/x
  3. Step 3: Cross multiply
    10,002.63x = 13,803.63 × 5,526.39
  4. Step 4: Simplify right side
    10,002.63x = 76,284,242.80
  5. Step 5: Solve for x
    x = 76,284,242.80/10,002.63
  6. Step 6: Final answer
    x = 7,626.42

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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.