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Finding the Fourth Proportional to 7,307.75, 10,085.21 and 4,163.94

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Solution

The fourth proportional to 7,307.75, 10,085.21 and 4,163.94 is: 5,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.75 : 10,085.21 = 4,163.94 : x
  2. Step 2: Convert to fraction form
    7,307.75/10,085.21 = 4,163.94/x
  3. Step 3: Cross multiply
    7,307.75x = 10,085.21 × 4,163.94
  4. Step 4: Simplify right side
    7,307.75x = 41,994,204.12
  5. Step 5: Solve for x
    x = 41,994,204.12/7,307.75
  6. Step 6: Final answer
    x = 5,746.53

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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.