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Finding the Fourth Proportional to 7,583.99, 11,368.19 and 2,902.90

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Solution

The fourth proportional to 7,583.99, 11,368.19 and 2,902.90 is: 4,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.99 : 11,368.19 = 2,902.90 : x
  2. Step 2: Convert to fraction form
    7,583.99/11,368.19 = 2,902.90/x
  3. Step 3: Cross multiply
    7,583.99x = 11,368.19 × 2,902.90
  4. Step 4: Simplify right side
    7,583.99x = 33,000,718.75
  5. Step 5: Solve for x
    x = 33,000,718.75/7,583.99
  6. Step 6: Final answer
    x = 4,351.37

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Why These Related Problems?

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