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Finding the Fourth Proportional to 7,975.26, 11,005.86 and 4,438.47

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Solution

The fourth proportional to 7,975.26, 11,005.86 and 4,438.47 is: 6,125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.26 : 11,005.86 = 4,438.47 : x
  2. Step 2: Convert to fraction form
    7,975.26/11,005.86 = 4,438.47/x
  3. Step 3: Cross multiply
    7,975.26x = 11,005.86 × 4,438.47
  4. Step 4: Simplify right side
    7,975.26x = 48,849,157.24
  5. Step 5: Solve for x
    x = 48,849,157.24/7,975.26
  6. Step 6: Final answer
    x = 6,125.09

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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.