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Finding the Fourth Proportional to 7,391.30, 10,199.98 and 4,738.70

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Solution

The fourth proportional to 7,391.30, 10,199.98 and 4,738.70 is: 6,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.30 : 10,199.98 = 4,738.70 : x
  2. Step 2: Convert to fraction form
    7,391.30/10,199.98 = 4,738.70/x
  3. Step 3: Cross multiply
    7,391.30x = 10,199.98 × 4,738.70
  4. Step 4: Simplify right side
    7,391.30x = 48,334,645.23
  5. Step 5: Solve for x
    x = 48,334,645.23/7,391.30
  6. Step 6: Final answer
    x = 6,539.40

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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.