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Finding the Fourth Proportional to 7,574.25, 10,450.76 and 4,589.98

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Solution

The fourth proportional to 7,574.25, 10,450.76 and 4,589.98 is: 6,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.25 : 10,450.76 = 4,589.98 : x
  2. Step 2: Convert to fraction form
    7,574.25/10,450.76 = 4,589.98/x
  3. Step 3: Cross multiply
    7,574.25x = 10,450.76 × 4,589.98
  4. Step 4: Simplify right side
    7,574.25x = 47,968,779.38
  5. Step 5: Solve for x
    x = 47,968,779.38/7,574.25
  6. Step 6: Final answer
    x = 6,333.14

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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.