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Finding the Fourth Proportional to 10,934.34, 16,401.50 and 4,690.32

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Solution

The fourth proportional to 10,934.34, 16,401.50 and 4,690.32 is: 7,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934.34 : 16,401.50 = 4,690.32 : x
  2. Step 2: Convert to fraction form
    10,934.34/16,401.50 = 4,690.32/x
  3. Step 3: Cross multiply
    10,934.34x = 16,401.50 × 4,690.32
  4. Step 4: Simplify right side
    10,934.34x = 76,928,283.48
  5. Step 5: Solve for x
    x = 76,928,283.48/10,934.34
  6. Step 6: Final answer
    x = 7,035.48

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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.