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Finding the Fourth Proportional to 7,257.68, 10,015.32 and 4,113.68

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Solution

The fourth proportional to 7,257.68, 10,015.32 and 4,113.68 is: 5,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.68 : 10,015.32 = 4,113.68 : x
  2. Step 2: Convert to fraction form
    7,257.68/10,015.32 = 4,113.68/x
  3. Step 3: Cross multiply
    7,257.68x = 10,015.32 × 4,113.68
  4. Step 4: Simplify right side
    7,257.68x = 41,199,821.58
  5. Step 5: Solve for x
    x = 41,199,821.58/7,257.68
  6. Step 6: Final answer
    x = 5,676.72

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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.