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Finding the Fourth Proportional to 10,334.63, 15,503.03 and 4,412.12

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Solution

The fourth proportional to 10,334.63, 15,503.03 and 4,412.12 is: 6,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.63 : 15,503.03 = 4,412.12 : x
  2. Step 2: Convert to fraction form
    10,334.63/15,503.03 = 4,412.12/x
  3. Step 3: Cross multiply
    10,334.63x = 15,503.03 × 4,412.12
  4. Step 4: Simplify right side
    10,334.63x = 68,401,162.24
  5. Step 5: Solve for x
    x = 68,401,162.24/10,334.63
  6. Step 6: Final answer
    x = 6,618.64

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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.