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Finding the Fourth Proportional to 7,354.99, 11,033.70 and 2,424.93

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Solution

The fourth proportional to 7,354.99, 11,033.70 and 2,424.93 is: 3,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.99 : 11,033.70 = 2,424.93 : x
  2. Step 2: Convert to fraction form
    7,354.99/11,033.70 = 2,424.93/x
  3. Step 3: Cross multiply
    7,354.99x = 11,033.70 × 2,424.93
  4. Step 4: Simplify right side
    7,354.99x = 26,755,950.14
  5. Step 5: Solve for x
    x = 26,755,950.14/7,354.99
  6. Step 6: Final answer
    x = 3,637.80

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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.