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Finding the Fourth Proportional to 10,931.42, 16,405.10 and 4,359.49

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Solution

The fourth proportional to 10,931.42, 16,405.10 and 4,359.49 is: 6,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.42 : 16,405.10 = 4,359.49 : x
  2. Step 2: Convert to fraction form
    10,931.42/16,405.10 = 4,359.49/x
  3. Step 3: Cross multiply
    10,931.42x = 16,405.10 × 4,359.49
  4. Step 4: Simplify right side
    10,931.42x = 71,517,822.94
  5. Step 5: Solve for x
    x = 71,517,822.94/10,931.42
  6. Step 6: Final answer
    x = 6,542.41

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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.