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Finding the Fourth Proportional to 7,570.75, 11,356.69 and 2,023.97

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Solution

The fourth proportional to 7,570.75, 11,356.69 and 2,023.97 is: 3,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.75 : 11,356.69 = 2,023.97 : x
  2. Step 2: Convert to fraction form
    7,570.75/11,356.69 = 2,023.97/x
  3. Step 3: Cross multiply
    7,570.75x = 11,356.69 × 2,023.97
  4. Step 4: Simplify right side
    7,570.75x = 22,985,543.08
  5. Step 5: Solve for x
    x = 22,985,543.08/7,570.75
  6. Step 6: Final answer
    x = 3,036.10

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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.