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Finding the Fourth Proportional to 7,881.41, 11,813.61 and 3,492.83

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Solution

The fourth proportional to 7,881.41, 11,813.61 and 3,492.83 is: 5,235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.41 : 11,813.61 = 3,492.83 : x
  2. Step 2: Convert to fraction form
    7,881.41/11,813.61 = 3,492.83/x
  3. Step 3: Cross multiply
    7,881.41x = 11,813.61 × 3,492.83
  4. Step 4: Simplify right side
    7,881.41x = 41,262,931.42
  5. Step 5: Solve for x
    x = 41,262,931.42/7,881.41
  6. Step 6: Final answer
    x = 5,235.48

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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.