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Finding the Fourth Proportional to 7,012.56, 10,514.52 and 3,314.64

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Solution

The fourth proportional to 7,012.56, 10,514.52 and 3,314.64 is: 4,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.56 : 10,514.52 = 3,314.64 : x
  2. Step 2: Convert to fraction form
    7,012.56/10,514.52 = 3,314.64/x
  3. Step 3: Cross multiply
    7,012.56x = 10,514.52 × 3,314.64
  4. Step 4: Simplify right side
    7,012.56x = 34,851,848.57
  5. Step 5: Solve for x
    x = 34,851,848.57/7,012.56
  6. Step 6: Final answer
    x = 4,969.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.