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Finding the Fourth Proportional to 7,579.94, 10,460.64 and 4,222.75

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Solution

The fourth proportional to 7,579.94, 10,460.64 and 4,222.75 is: 5,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,579.94 : 10,460.64 = 4,222.75 : x
  2. Step 2: Convert to fraction form
    7,579.94/10,460.64 = 4,222.75/x
  3. Step 3: Cross multiply
    7,579.94x = 10,460.64 × 4,222.75
  4. Step 4: Simplify right side
    7,579.94x = 44,172,667.56
  5. Step 5: Solve for x
    x = 44,172,667.56/7,579.94
  6. Step 6: Final answer
    x = 5,827.57

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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.