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Finding the Fourth Proportional to 7,465.86, 11,201.22 and 3,570.57

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Solution

The fourth proportional to 7,465.86, 11,201.22 and 3,570.57 is: 5,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.86 : 11,201.22 = 3,570.57 : x
  2. Step 2: Convert to fraction form
    7,465.86/11,201.22 = 3,570.57/x
  3. Step 3: Cross multiply
    7,465.86x = 11,201.22 × 3,570.57
  4. Step 4: Simplify right side
    7,465.86x = 39,994,740.10
  5. Step 5: Solve for x
    x = 39,994,740.10/7,465.86
  6. Step 6: Final answer
    x = 5,357.02

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Why These Related Problems?

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