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Finding the Fourth Proportional to 7,758.86, 10,707.26 and 4,222.08

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Solution

The fourth proportional to 7,758.86, 10,707.26 and 4,222.08 is: 5,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.86 : 10,707.26 = 4,222.08 : x
  2. Step 2: Convert to fraction form
    7,758.86/10,707.26 = 4,222.08/x
  3. Step 3: Cross multiply
    7,758.86x = 10,707.26 × 4,222.08
  4. Step 4: Simplify right side
    7,758.86x = 45,206,887.19
  5. Step 5: Solve for x
    x = 45,206,887.19/7,758.86
  6. Step 6: Final answer
    x = 5,826.49

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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.