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Finding the Fourth Proportional to 7,033.56, 10,566.75 and 4,113.93

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Solution

The fourth proportional to 7,033.56, 10,566.75 and 4,113.93 is: 6,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.56 : 10,566.75 = 4,113.93 : x
  2. Step 2: Convert to fraction form
    7,033.56/10,566.75 = 4,113.93/x
  3. Step 3: Cross multiply
    7,033.56x = 10,566.75 × 4,113.93
  4. Step 4: Simplify right side
    7,033.56x = 43,470,869.83
  5. Step 5: Solve for x
    x = 43,470,869.83/7,033.56
  6. Step 6: Final answer
    x = 6,180.49

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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.