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Finding the Fourth Proportional to 7,884.66, 11,829.78 and 3,501.72

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Solution

The fourth proportional to 7,884.66, 11,829.78 and 3,501.72 is: 5,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.66 : 11,829.78 = 3,501.72 : x
  2. Step 2: Convert to fraction form
    7,884.66/11,829.78 = 3,501.72/x
  3. Step 3: Cross multiply
    7,884.66x = 11,829.78 × 3,501.72
  4. Step 4: Simplify right side
    7,884.66x = 41,424,577.22
  5. Step 5: Solve for x
    x = 41,424,577.22/7,884.66
  6. Step 6: Final answer
    x = 5,253.82

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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.