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Finding the Fourth Proportional to 10,223.92, 14,109.51 and 5,749.08

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Solution

The fourth proportional to 10,223.92, 14,109.51 and 5,749.08 is: 7,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.92 : 14,109.51 = 5,749.08 : x
  2. Step 2: Convert to fraction form
    10,223.92/14,109.51 = 5,749.08/x
  3. Step 3: Cross multiply
    10,223.92x = 14,109.51 × 5,749.08
  4. Step 4: Simplify right side
    10,223.92x = 81,116,701.75
  5. Step 5: Solve for x
    x = 81,116,701.75/10,223.92
  6. Step 6: Final answer
    x = 7,934.01

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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.