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Finding the Fourth Proportional to 11,289.17, 15,571.31 and 7,746.23

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Solution

The fourth proportional to 11,289.17, 15,571.31 and 7,746.23 is: 10,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289.17 : 15,571.31 = 7,746.23 : x
  2. Step 2: Convert to fraction form
    11,289.17/15,571.31 = 7,746.23/x
  3. Step 3: Cross multiply
    11,289.17x = 15,571.31 × 7,746.23
  4. Step 4: Simplify right side
    11,289.17x = 120,618,948.86
  5. Step 5: Solve for x
    x = 120,618,948.86/11,289.17
  6. Step 6: Final answer
    x = 10,684.48

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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.