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Finding the Fourth Proportional to 7,583.87, 11,368.10 and 2,902.68

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Solution

The fourth proportional to 7,583.87, 11,368.10 and 2,902.68 is: 4,351.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.87 : 11,368.10 = 2,902.68 : x
  2. Step 2: Convert to fraction form
    7,583.87/11,368.10 = 2,902.68/x
  3. Step 3: Cross multiply
    7,583.87x = 11,368.10 × 2,902.68
  4. Step 4: Simplify right side
    7,583.87x = 32,997,956.51
  5. Step 5: Solve for x
    x = 32,997,956.51/7,583.87
  6. Step 6: Final answer
    x = 4,351.07

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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.