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Finding the Fourth Proportional to 27,989.52, 41,986.68 and 7,213

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Solution

The fourth proportional to 27,989.52, 41,986.68 and 7,213 is: 10,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,989.52 : 41,986.68 = 7,213 : x
  2. Step 2: Convert to fraction form
    27,989.52/41,986.68 = 7,213/x
  3. Step 3: Cross multiply
    27,989.52x = 41,986.68 × 7,213
  4. Step 4: Simplify right side
    27,989.52x = 302,849,922.84
  5. Step 5: Solve for x
    x = 302,849,922.84/27,989.52
  6. Step 6: Final answer
    x = 10,820.12

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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.