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Finding the Fourth Proportional to 7,733.30, 10,671.98 and 4,196.51

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Solution

The fourth proportional to 7,733.30, 10,671.98 and 4,196.51 is: 5,791.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.30 : 10,671.98 = 4,196.51 : x
  2. Step 2: Convert to fraction form
    7,733.30/10,671.98 = 4,196.51/x
  3. Step 3: Cross multiply
    7,733.30x = 10,671.98 × 4,196.51
  4. Step 4: Simplify right side
    7,733.30x = 44,785,023.13
  5. Step 5: Solve for x
    x = 44,785,023.13/7,733.30
  6. Step 6: Final answer
    x = 5,791.20

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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.