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Finding the Fourth Proportional to 6,953.96, 10,430.97 and 2,023.62

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Solution

The fourth proportional to 6,953.96, 10,430.97 and 2,023.62 is: 3,035.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.96 : 10,430.97 = 2,023.62 : x
  2. Step 2: Convert to fraction form
    6,953.96/10,430.97 = 2,023.62/x
  3. Step 3: Cross multiply
    6,953.96x = 10,430.97 × 2,023.62
  4. Step 4: Simplify right side
    6,953.96x = 21,108,319.51
  5. Step 5: Solve for x
    x = 21,108,319.51/6,953.96
  6. Step 6: Final answer
    x = 3,035.44

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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.