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Finding the Fourth Proportional to 27,596.59, 41,395.27 and 7,875.15

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Solution

The fourth proportional to 27,596.59, 41,395.27 and 7,875.15 is: 11,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596.59 : 41,395.27 = 7,875.15 : x
  2. Step 2: Convert to fraction form
    27,596.59/41,395.27 = 7,875.15/x
  3. Step 3: Cross multiply
    27,596.59x = 41,395.27 × 7,875.15
  4. Step 4: Simplify right side
    27,596.59x = 325,993,980.23
  5. Step 5: Solve for x
    x = 325,993,980.23/27,596.59
  6. Step 6: Final answer
    x = 11,812.84

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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.