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Finding the Fourth Proportional to 7,573.60, 10,450.38 and 4,215.34

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Solution

The fourth proportional to 7,573.60, 10,450.38 and 4,215.34 is: 5,816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.60 : 10,450.38 = 4,215.34 : x
  2. Step 2: Convert to fraction form
    7,573.60/10,450.38 = 4,215.34/x
  3. Step 3: Cross multiply
    7,573.60x = 10,450.38 × 4,215.34
  4. Step 4: Simplify right side
    7,573.60x = 44,051,904.83
  5. Step 5: Solve for x
    x = 44,051,904.83/7,573.60
  6. Step 6: Final answer
    x = 5,816.51

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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.