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Finding the Fourth Proportional to 7,571.10, 10,448.42 and 4,585.25

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Solution

The fourth proportional to 7,571.10, 10,448.42 and 4,585.25 is: 6,327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.10 : 10,448.42 = 4,585.25 : x
  2. Step 2: Convert to fraction form
    7,571.10/10,448.42 = 4,585.25/x
  3. Step 3: Cross multiply
    7,571.10x = 10,448.42 × 4,585.25
  4. Step 4: Simplify right side
    7,571.10x = 47,908,542.64
  5. Step 5: Solve for x
    x = 47,908,542.64/7,571.10
  6. Step 6: Final answer
    x = 6,327.82

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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.