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Finding the Fourth Proportional to 7,225.36, 10,836.78 and 2,030

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Solution

The fourth proportional to 7,225.36, 10,836.78 and 2,030 is: 3,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.36 : 10,836.78 = 2,030 : x
  2. Step 2: Convert to fraction form
    7,225.36/10,836.78 = 2,030/x
  3. Step 3: Cross multiply
    7,225.36x = 10,836.78 × 2,030
  4. Step 4: Simplify right side
    7,225.36x = 21,998,663.40
  5. Step 5: Solve for x
    x = 21,998,663.40/7,225.36
  6. Step 6: Final answer
    x = 3,044.65

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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.