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Finding the Fourth Proportional to 7,821.30, 10,814.22 and 6,837.24

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Solution

The fourth proportional to 7,821.30, 10,814.22 and 6,837.24 is: 9,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.30 : 10,814.22 = 6,837.24 : x
  2. Step 2: Convert to fraction form
    7,821.30/10,814.22 = 6,837.24/x
  3. Step 3: Cross multiply
    7,821.30x = 10,814.22 × 6,837.24
  4. Step 4: Simplify right side
    7,821.30x = 73,939,417.55
  5. Step 5: Solve for x
    x = 73,939,417.55/7,821.30
  6. Step 6: Final answer
    x = 9,453.60

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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.