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Finding the Fourth Proportional to 7,012.80, 9,678.24 and 4,029.12

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Solution

The fourth proportional to 7,012.80, 9,678.24 and 4,029.12 is: 5,560.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.80 : 9,678.24 = 4,029.12 : x
  2. Step 2: Convert to fraction form
    7,012.80/9,678.24 = 4,029.12/x
  3. Step 3: Cross multiply
    7,012.80x = 9,678.24 × 4,029.12
  4. Step 4: Simplify right side
    7,012.80x = 38,994,790.35
  5. Step 5: Solve for x
    x = 38,994,790.35/7,012.80
  6. Step 6: Final answer
    x = 5,560.52

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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.