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Finding the Fourth Proportional to 27,547.56, 41,322.12 and 6,771

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Solution

The fourth proportional to 27,547.56, 41,322.12 and 6,771 is: 10,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547.56 : 41,322.12 = 6,771 : x
  2. Step 2: Convert to fraction form
    27,547.56/41,322.12 = 6,771/x
  3. Step 3: Cross multiply
    27,547.56x = 41,322.12 × 6,771
  4. Step 4: Simplify right side
    27,547.56x = 279,792,074.52
  5. Step 5: Solve for x
    x = 279,792,074.52/27,547.56
  6. Step 6: Final answer
    x = 10,156.69

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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.