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Finding the Fourth Proportional to 7,594.24, 10,475.04 and 4,448.20

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Solution

The fourth proportional to 7,594.24, 10,475.04 and 4,448.20 is: 6,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.24 : 10,475.04 = 4,448.20 : x
  2. Step 2: Convert to fraction form
    7,594.24/10,475.04 = 4,448.20/x
  3. Step 3: Cross multiply
    7,594.24x = 10,475.04 × 4,448.20
  4. Step 4: Simplify right side
    7,594.24x = 46,595,072.93
  5. Step 5: Solve for x
    x = 46,595,072.93/7,594.24
  6. Step 6: Final answer
    x = 6,135.58

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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.