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Finding the Fourth Proportional to 7,307.75, 10,084.93 and 4,164.14

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Solution

The fourth proportional to 7,307.75, 10,084.93 and 4,164.14 is: 5,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.75 : 10,084.93 = 4,164.14 : x
  2. Step 2: Convert to fraction form
    7,307.75/10,084.93 = 4,164.14/x
  3. Step 3: Cross multiply
    7,307.75x = 10,084.93 × 4,164.14
  4. Step 4: Simplify right side
    7,307.75x = 41,995,039.59
  5. Step 5: Solve for x
    x = 41,995,039.59/7,307.75
  6. Step 6: Final answer
    x = 5,746.64

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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.