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Finding the Fourth Proportional to 7,574.94, 10,450.53 and 5,590.23

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Solution

The fourth proportional to 7,574.94, 10,450.53 and 5,590.23 is: 7,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.94 : 10,450.53 = 5,590.23 : x
  2. Step 2: Convert to fraction form
    7,574.94/10,450.53 = 5,590.23/x
  3. Step 3: Cross multiply
    7,574.94x = 10,450.53 × 5,590.23
  4. Step 4: Simplify right side
    7,574.94x = 58,420,866.32
  5. Step 5: Solve for x
    x = 58,420,866.32/7,574.94
  6. Step 6: Final answer
    x = 7,712.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.