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Finding the Fourth Proportional to 7,570.05, 10,446.74 and 4,425.63

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Solution

The fourth proportional to 7,570.05, 10,446.74 and 4,425.63 is: 6,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.05 : 10,446.74 = 4,425.63 : x
  2. Step 2: Convert to fraction form
    7,570.05/10,446.74 = 4,425.63/x
  3. Step 3: Cross multiply
    7,570.05x = 10,446.74 × 4,425.63
  4. Step 4: Simplify right side
    7,570.05x = 46,233,405.95
  5. Step 5: Solve for x
    x = 46,233,405.95/7,570.05
  6. Step 6: Final answer
    x = 6,107.41

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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.