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Finding the Fourth Proportional to 7,260, 10,894.88 and 3,364.48

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Solution

The fourth proportional to 7,260, 10,894.88 and 3,364.48 is: 5,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260 : 10,894.88 = 3,364.48 : x
  2. Step 2: Convert to fraction form
    7,260/10,894.88 = 3,364.48/x
  3. Step 3: Cross multiply
    7,260x = 10,894.88 × 3,364.48
  4. Step 4: Simplify right side
    7,260x = 36,655,605.86
  5. Step 5: Solve for x
    x = 36,655,605.86/7,260
  6. Step 6: Final answer
    x = 5,048.98

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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.