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Finding the Fourth Proportional to 7,582.07, 11,368.64 and 2,902.43

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Solution

The fourth proportional to 7,582.07, 11,368.64 and 2,902.43 is: 4,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.07 : 11,368.64 = 2,902.43 : x
  2. Step 2: Convert to fraction form
    7,582.07/11,368.64 = 2,902.43/x
  3. Step 3: Cross multiply
    7,582.07x = 11,368.64 × 2,902.43
  4. Step 4: Simplify right side
    7,582.07x = 32,996,610.44
  5. Step 5: Solve for x
    x = 32,996,610.44/7,582.07
  6. Step 6: Final answer
    x = 4,351.93

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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.