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Finding the Fourth Proportional to 27,597, 41,395.88 and 7,875.55

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Solution

The fourth proportional to 27,597, 41,395.88 and 7,875.55 is: 11,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,597 : 41,395.88 = 7,875.55 : x
  2. Step 2: Convert to fraction form
    27,597/41,395.88 = 7,875.55/x
  3. Step 3: Cross multiply
    27,597x = 41,395.88 × 7,875.55
  4. Step 4: Simplify right side
    27,597x = 326,015,322.73
  5. Step 5: Solve for x
    x = 326,015,322.73/27,597
  6. Step 6: Final answer
    x = 11,813.43

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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.