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Finding the Fourth Proportional to 7,078.32, 10,615.32 and 1,883.52

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Solution

The fourth proportional to 7,078.32, 10,615.32 and 1,883.52 is: 2,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.32 : 10,615.32 = 1,883.52 : x
  2. Step 2: Convert to fraction form
    7,078.32/10,615.32 = 1,883.52/x
  3. Step 3: Cross multiply
    7,078.32x = 10,615.32 × 1,883.52
  4. Step 4: Simplify right side
    7,078.32x = 19,994,167.53
  5. Step 5: Solve for x
    x = 19,994,167.53/7,078.32
  6. Step 6: Final answer
    x = 2,824.71

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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.