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Finding the Fourth Proportional to 4,348.63, 6,525.30 and 4,113.43

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Solution

The fourth proportional to 4,348.63, 6,525.30 and 4,113.43 is: 6,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348.63 : 6,525.30 = 4,113.43 : x
  2. Step 2: Convert to fraction form
    4,348.63/6,525.30 = 4,113.43/x
  3. Step 3: Cross multiply
    4,348.63x = 6,525.30 × 4,113.43
  4. Step 4: Simplify right side
    4,348.63x = 26,841,364.78
  5. Step 5: Solve for x
    x = 26,841,364.78/4,348.63
  6. Step 6: Final answer
    x = 6,172.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.