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Finding the Fourth Proportional to 27,596.84, 41,395.64 and 7,875.39

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Solution

The fourth proportional to 27,596.84, 41,395.64 and 7,875.39 is: 11,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596.84 : 41,395.64 = 7,875.39 : x
  2. Step 2: Convert to fraction form
    27,596.84/41,395.64 = 7,875.39/x
  3. Step 3: Cross multiply
    27,596.84x = 41,395.64 × 7,875.39
  4. Step 4: Simplify right side
    27,596.84x = 326,006,969.46
  5. Step 5: Solve for x
    x = 326,006,969.46/27,596.84
  6. Step 6: Final answer
    x = 11,813.20

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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.