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Finding the Fourth Proportional to 8,392.29, 11,578.59 and 4,853.00

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Solution

The fourth proportional to 8,392.29, 11,578.59 and 4,853.00 is: 6,695.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.29 : 11,578.59 = 4,853.00 : x
  2. Step 2: Convert to fraction form
    8,392.29/11,578.59 = 4,853.00/x
  3. Step 3: Cross multiply
    8,392.29x = 11,578.59 × 4,853.00
  4. Step 4: Simplify right side
    8,392.29x = 56,190,839.38
  5. Step 5: Solve for x
    x = 56,190,839.38/8,392.29
  6. Step 6: Final answer
    x = 6,695.53

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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.