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Finding the Fourth Proportional to 10,911.60, 16,384.08 and 10,462.32

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Solution

The fourth proportional to 10,911.60, 16,384.08 and 10,462.32 is: 15,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.60 : 16,384.08 = 10,462.32 : x
  2. Step 2: Convert to fraction form
    10,911.60/16,384.08 = 10,462.32/x
  3. Step 3: Cross multiply
    10,911.60x = 16,384.08 × 10,462.32
  4. Step 4: Simplify right side
    10,911.60x = 171,415,487.87
  5. Step 5: Solve for x
    x = 171,415,487.87/10,911.60
  6. Step 6: Final answer
    x = 15,709.47

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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.