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Finding the Fourth Proportional to 7,814.64, 10,782.36 and 5,715.12

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Solution

The fourth proportional to 7,814.64, 10,782.36 and 5,715.12 is: 7,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.64 : 10,782.36 = 5,715.12 : x
  2. Step 2: Convert to fraction form
    7,814.64/10,782.36 = 5,715.12/x
  3. Step 3: Cross multiply
    7,814.64x = 10,782.36 × 5,715.12
  4. Step 4: Simplify right side
    7,814.64x = 61,622,481.28
  5. Step 5: Solve for x
    x = 61,622,481.28/7,814.64
  6. Step 6: Final answer
    x = 7,885.52

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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.