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Finding the Fourth Proportional to 27,547.50, 41,321.64 and 6,771

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Solution

The fourth proportional to 27,547.50, 41,321.64 and 6,771 is: 10,156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547.50 : 41,321.64 = 6,771 : x
  2. Step 2: Convert to fraction form
    27,547.50/41,321.64 = 6,771/x
  3. Step 3: Cross multiply
    27,547.50x = 41,321.64 × 6,771
  4. Step 4: Simplify right side
    27,547.50x = 279,788,824.44
  5. Step 5: Solve for x
    x = 279,788,824.44/27,547.50
  6. Step 6: Final answer
    x = 10,156.60

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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.