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Finding the Fourth Proportional to 7,313.85, 10,095.30 and 4,290.66

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Solution

The fourth proportional to 7,313.85, 10,095.30 and 4,290.66 is: 5,922.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.85 : 10,095.30 = 4,290.66 : x
  2. Step 2: Convert to fraction form
    7,313.85/10,095.30 = 4,290.66/x
  3. Step 3: Cross multiply
    7,313.85x = 10,095.30 × 4,290.66
  4. Step 4: Simplify right side
    7,313.85x = 43,315,499.90
  5. Step 5: Solve for x
    x = 43,315,499.90/7,313.85
  6. Step 6: Final answer
    x = 5,922.39

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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.