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Finding the Fourth Proportional to 27,085.69, 40,622.68 and 7,364.44

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Solution

The fourth proportional to 27,085.69, 40,622.68 and 7,364.44 is: 11,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,085.69 : 40,622.68 = 7,364.44 : x
  2. Step 2: Convert to fraction form
    27,085.69/40,622.68 = 7,364.44/x
  3. Step 3: Cross multiply
    27,085.69x = 40,622.68 × 7,364.44
  4. Step 4: Simplify right side
    27,085.69x = 299,163,289.50
  5. Step 5: Solve for x
    x = 299,163,289.50/27,085.69
  6. Step 6: Final answer
    x = 11,045.07

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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.