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Finding the Fourth Proportional to 7,570.58, 10,440.14 and 5,774.87

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Solution

The fourth proportional to 7,570.58, 10,440.14 and 5,774.87 is: 7,963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.58 : 10,440.14 = 5,774.87 : x
  2. Step 2: Convert to fraction form
    7,570.58/10,440.14 = 5,774.87/x
  3. Step 3: Cross multiply
    7,570.58x = 10,440.14 × 5,774.87
  4. Step 4: Simplify right side
    7,570.58x = 60,290,399.08
  5. Step 5: Solve for x
    x = 60,290,399.08/7,570.58
  6. Step 6: Final answer
    x = 7,963.78

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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.