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Finding the Fourth Proportional to 10,102.77, 13,937.00 and 7,849.23

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Solution

The fourth proportional to 10,102.77, 13,937.00 and 7,849.23 is: 10,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.77 : 13,937.00 = 7,849.23 : x
  2. Step 2: Convert to fraction form
    10,102.77/13,937.00 = 7,849.23/x
  3. Step 3: Cross multiply
    10,102.77x = 13,937.00 × 7,849.23
  4. Step 4: Simplify right side
    10,102.77x = 109,394,668.45
  5. Step 5: Solve for x
    x = 109,394,668.45/10,102.77
  6. Step 6: Final answer
    x = 10,828.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.