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Finding the Fourth Proportional to 27,302.00, 40,952.97 and 8,583.39

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Solution

The fourth proportional to 27,302.00, 40,952.97 and 8,583.39 is: 12,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,302.00 : 40,952.97 = 8,583.39 : x
  2. Step 2: Convert to fraction form
    27,302.00/40,952.97 = 8,583.39/x
  3. Step 3: Cross multiply
    27,302.00x = 40,952.97 × 8,583.39
  4. Step 4: Simplify right side
    27,302.00x = 351,515,313.17
  5. Step 5: Solve for x
    x = 351,515,313.17/27,302.00
  6. Step 6: Final answer
    x = 12,875.08

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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.