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Finding the Fourth Proportional to 7,830.40, 11,749.44 and 3,934.08

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Solution

The fourth proportional to 7,830.40, 11,749.44 and 3,934.08 is: 5,903.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.40 : 11,749.44 = 3,934.08 : x
  2. Step 2: Convert to fraction form
    7,830.40/11,749.44 = 3,934.08/x
  3. Step 3: Cross multiply
    7,830.40x = 11,749.44 × 3,934.08
  4. Step 4: Simplify right side
    7,830.40x = 46,223,236.92
  5. Step 5: Solve for x
    x = 46,223,236.92/7,830.40
  6. Step 6: Final answer
    x = 5,903.05

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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.