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Finding the Fourth Proportional to 10,400.54, 15,597.12 and 3,003

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Solution

The fourth proportional to 10,400.54, 15,597.12 and 3,003 is: 4,503.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.54 : 15,597.12 = 3,003 : x
  2. Step 2: Convert to fraction form
    10,400.54/15,597.12 = 3,003/x
  3. Step 3: Cross multiply
    10,400.54x = 15,597.12 × 3,003
  4. Step 4: Simplify right side
    10,400.54x = 46,838,151.36
  5. Step 5: Solve for x
    x = 46,838,151.36/10,400.54
  6. Step 6: Final answer
    x = 4,503.43

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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.