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Finding the Fourth Proportional to 27,428.07, 41,142.29 and 7,707

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Solution

The fourth proportional to 27,428.07, 41,142.29 and 7,707 is: 11,560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,428.07 : 41,142.29 = 7,707 : x
  2. Step 2: Convert to fraction form
    27,428.07/41,142.29 = 7,707/x
  3. Step 3: Cross multiply
    27,428.07x = 41,142.29 × 7,707
  4. Step 4: Simplify right side
    27,428.07x = 317,083,590.50
  5. Step 5: Solve for x
    x = 317,083,590.50/27,428.07
  6. Step 6: Final answer
    x = 11,560.55

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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.