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Finding the Fourth Proportional to 10,929.87, 16,398.63 and 3,534.57

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Solution

The fourth proportional to 10,929.87, 16,398.63 and 3,534.57 is: 5,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.87 : 16,398.63 = 3,534.57 : x
  2. Step 2: Convert to fraction form
    10,929.87/16,398.63 = 3,534.57/x
  3. Step 3: Cross multiply
    10,929.87x = 16,398.63 × 3,534.57
  4. Step 4: Simplify right side
    10,929.87x = 57,962,105.64
  5. Step 5: Solve for x
    x = 57,962,105.64/10,929.87
  6. Step 6: Final answer
    x = 5,303.09

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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.