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Finding the Fourth Proportional to 8,441.89, 11,650.21 and 5,085.74

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Solution

The fourth proportional to 8,441.89, 11,650.21 and 5,085.74 is: 7,018.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.89 : 11,650.21 = 5,085.74 : x
  2. Step 2: Convert to fraction form
    8,441.89/11,650.21 = 5,085.74/x
  3. Step 3: Cross multiply
    8,441.89x = 11,650.21 × 5,085.74
  4. Step 4: Simplify right side
    8,441.89x = 59,249,955.42
  5. Step 5: Solve for x
    x = 59,249,955.42/8,441.89
  6. Step 6: Final answer
    x = 7,018.57

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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.