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Finding the Fourth Proportional to 7,552.99, 11,320.98 and 3,844.81

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Solution

The fourth proportional to 7,552.99, 11,320.98 and 3,844.81 is: 5,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.99 : 11,320.98 = 3,844.81 : x
  2. Step 2: Convert to fraction form
    7,552.99/11,320.98 = 3,844.81/x
  3. Step 3: Cross multiply
    7,552.99x = 11,320.98 × 3,844.81
  4. Step 4: Simplify right side
    7,552.99x = 43,527,017.11
  5. Step 5: Solve for x
    x = 43,527,017.11/7,552.99
  6. Step 6: Final answer
    x = 5,762.89

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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.