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Finding the Fourth Proportional to 7,307.59, 10,084.34 and 4,120.83

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Solution

The fourth proportional to 7,307.59, 10,084.34 and 4,120.83 is: 5,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.59 : 10,084.34 = 4,120.83 : x
  2. Step 2: Convert to fraction form
    7,307.59/10,084.34 = 4,120.83/x
  3. Step 3: Cross multiply
    7,307.59x = 10,084.34 × 4,120.83
  4. Step 4: Simplify right side
    7,307.59x = 41,555,868.01
  5. Step 5: Solve for x
    x = 41,555,868.01/7,307.59
  6. Step 6: Final answer
    x = 5,686.67

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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.