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Finding the Fourth Proportional to 7,538.55, 10,401.86 and 4,552.39

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Solution

The fourth proportional to 7,538.55, 10,401.86 and 4,552.39 is: 6,281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.55 : 10,401.86 = 4,552.39 : x
  2. Step 2: Convert to fraction form
    7,538.55/10,401.86 = 4,552.39/x
  3. Step 3: Cross multiply
    7,538.55x = 10,401.86 × 4,552.39
  4. Step 4: Simplify right side
    7,538.55x = 47,353,286.06
  5. Step 5: Solve for x
    x = 47,353,286.06/7,538.55
  6. Step 6: Final answer
    x = 6,281.48

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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.