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Finding the Fourth Proportional to 8,431.05, 11,634.81 and 4,705.05

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Solution

The fourth proportional to 8,431.05, 11,634.81 and 4,705.05 is: 6,492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.05 : 11,634.81 = 4,705.05 : x
  2. Step 2: Convert to fraction form
    8,431.05/11,634.81 = 4,705.05/x
  3. Step 3: Cross multiply
    8,431.05x = 11,634.81 × 4,705.05
  4. Step 4: Simplify right side
    8,431.05x = 54,742,362.79
  5. Step 5: Solve for x
    x = 54,742,362.79/8,431.05
  6. Step 6: Final answer
    x = 6,492.95

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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.