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Finding the Fourth Proportional to 8,429.76, 11,634.24 and 4,704

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Solution

The fourth proportional to 8,429.76, 11,634.24 and 4,704 is: 6,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.76 : 11,634.24 = 4,704 : x
  2. Step 2: Convert to fraction form
    8,429.76/11,634.24 = 4,704/x
  3. Step 3: Cross multiply
    8,429.76x = 11,634.24 × 4,704
  4. Step 4: Simplify right side
    8,429.76x = 54,727,464.96
  5. Step 5: Solve for x
    x = 54,727,464.96/8,429.76
  6. Step 6: Final answer
    x = 6,492.17

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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.