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Finding the Fourth Proportional to 27,929.86, 41,894.43 and 6,870.08

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Solution

The fourth proportional to 27,929.86, 41,894.43 and 6,870.08 is: 10,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,929.86 : 41,894.43 = 6,870.08 : x
  2. Step 2: Convert to fraction form
    27,929.86/41,894.43 = 6,870.08/x
  3. Step 3: Cross multiply
    27,929.86x = 41,894.43 × 6,870.08
  4. Step 4: Simplify right side
    27,929.86x = 287,818,085.65
  5. Step 5: Solve for x
    x = 287,818,085.65/27,929.86
  6. Step 6: Final answer
    x = 10,305.03

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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.