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Finding the Fourth Proportional to 27,578.40, 41,362.63 and 7,315.29

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Solution

The fourth proportional to 27,578.40, 41,362.63 and 7,315.29 is: 10,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.40 : 41,362.63 = 7,315.29 : x
  2. Step 2: Convert to fraction form
    27,578.40/41,362.63 = 7,315.29/x
  3. Step 3: Cross multiply
    27,578.40x = 41,362.63 × 7,315.29
  4. Step 4: Simplify right side
    27,578.40x = 302,579,615.32
  5. Step 5: Solve for x
    x = 302,579,615.32/27,578.40
  6. Step 6: Final answer
    x = 10,971.62

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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.