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Finding the Fourth Proportional to 7,830.66, 11,750.73 and 3,151.71

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Solution

The fourth proportional to 7,830.66, 11,750.73 and 3,151.71 is: 4,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.66 : 11,750.73 = 3,151.71 : x
  2. Step 2: Convert to fraction form
    7,830.66/11,750.73 = 3,151.71/x
  3. Step 3: Cross multiply
    7,830.66x = 11,750.73 × 3,151.71
  4. Step 4: Simplify right side
    7,830.66x = 37,034,893.25
  5. Step 5: Solve for x
    x = 37,034,893.25/7,830.66
  6. Step 6: Final answer
    x = 4,729.47

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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.