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Finding the Fourth Proportional to 7,841.26, 10,821.16 and 4,438.01

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Solution

The fourth proportional to 7,841.26, 10,821.16 and 4,438.01 is: 6,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.26 : 10,821.16 = 4,438.01 : x
  2. Step 2: Convert to fraction form
    7,841.26/10,821.16 = 4,438.01/x
  3. Step 3: Cross multiply
    7,841.26x = 10,821.16 × 4,438.01
  4. Step 4: Simplify right side
    7,841.26x = 48,024,362.19
  5. Step 5: Solve for x
    x = 48,024,362.19/7,841.26
  6. Step 6: Final answer
    x = 6,124.58

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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.