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Finding the Fourth Proportional to 7,274.72, 10,023.09 and 6,075.24

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Solution

The fourth proportional to 7,274.72, 10,023.09 and 6,075.24 is: 8,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.72 : 10,023.09 = 6,075.24 : x
  2. Step 2: Convert to fraction form
    7,274.72/10,023.09 = 6,075.24/x
  3. Step 3: Cross multiply
    7,274.72x = 10,023.09 × 6,075.24
  4. Step 4: Simplify right side
    7,274.72x = 60,892,677.29
  5. Step 5: Solve for x
    x = 60,892,677.29/7,274.72
  6. Step 6: Final answer
    x = 8,370.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.