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Finding the Fourth Proportional to 8,470.99, 11,690.07 and 4,934.53

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Solution

The fourth proportional to 8,470.99, 11,690.07 and 4,934.53 is: 6,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.99 : 11,690.07 = 4,934.53 : x
  2. Step 2: Convert to fraction form
    8,470.99/11,690.07 = 4,934.53/x
  3. Step 3: Cross multiply
    8,470.99x = 11,690.07 × 4,934.53
  4. Step 4: Simplify right side
    8,470.99x = 57,685,001.12
  5. Step 5: Solve for x
    x = 57,685,001.12/8,470.99
  6. Step 6: Final answer
    x = 6,809.71

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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.