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Finding the Fourth Proportional to 7,307.80, 10,084.74 and 4,164.52

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Solution

The fourth proportional to 7,307.80, 10,084.74 and 4,164.52 is: 5,747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.80 : 10,084.74 = 4,164.52 : x
  2. Step 2: Convert to fraction form
    7,307.80/10,084.74 = 4,164.52/x
  3. Step 3: Cross multiply
    7,307.80x = 10,084.74 × 4,164.52
  4. Step 4: Simplify right side
    7,307.80x = 41,998,101.42
  5. Step 5: Solve for x
    x = 41,998,101.42/7,307.80
  6. Step 6: Final answer
    x = 5,747.02

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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.