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Finding the Fourth Proportional to 11,466.63, 17,200.53 and 3,574.53

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Solution

The fourth proportional to 11,466.63, 17,200.53 and 3,574.53 is: 5,361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.63 : 17,200.53 = 3,574.53 : x
  2. Step 2: Convert to fraction form
    11,466.63/17,200.53 = 3,574.53/x
  3. Step 3: Cross multiply
    11,466.63x = 17,200.53 × 3,574.53
  4. Step 4: Simplify right side
    11,466.63x = 61,483,810.50
  5. Step 5: Solve for x
    x = 61,483,810.50/11,466.63
  6. Step 6: Final answer
    x = 5,361.98

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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.