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Finding the Fourth Proportional to 27,875.35, 41,812.86 and 6,815.53

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Solution

The fourth proportional to 27,875.35, 41,812.86 and 6,815.53 is: 10,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,875.35 : 41,812.86 = 6,815.53 : x
  2. Step 2: Convert to fraction form
    27,875.35/41,812.86 = 6,815.53/x
  3. Step 3: Cross multiply
    27,875.35x = 41,812.86 × 6,815.53
  4. Step 4: Simplify right side
    27,875.35x = 284,976,801.72
  5. Step 5: Solve for x
    x = 284,976,801.72/27,875.35
  6. Step 6: Final answer
    x = 10,223.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.