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Finding the Fourth Proportional to 7,465.72, 11,194.80 and 3,084.16

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Solution

The fourth proportional to 7,465.72, 11,194.80 and 3,084.16 is: 4,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.72 : 11,194.80 = 3,084.16 : x
  2. Step 2: Convert to fraction form
    7,465.72/11,194.80 = 3,084.16/x
  3. Step 3: Cross multiply
    7,465.72x = 11,194.80 × 3,084.16
  4. Step 4: Simplify right side
    7,465.72x = 34,526,554.37
  5. Step 5: Solve for x
    x = 34,526,554.37/7,465.72
  6. Step 6: Final answer
    x = 4,624.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.