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Finding the Fourth Proportional to 7,966.29, 10,993.33 and 4,429.42

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Solution

The fourth proportional to 7,966.29, 10,993.33 and 4,429.42 is: 6,112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.29 : 10,993.33 = 4,429.42 : x
  2. Step 2: Convert to fraction form
    7,966.29/10,993.33 = 4,429.42/x
  3. Step 3: Cross multiply
    7,966.29x = 10,993.33 × 4,429.42
  4. Step 4: Simplify right side
    7,966.29x = 48,694,075.77
  5. Step 5: Solve for x
    x = 48,694,075.77/7,966.29
  6. Step 6: Final answer
    x = 6,112.52

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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.