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Finding the Fourth Proportional to 10,903.68, 16,354.56 and 4,661.76

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Solution

The fourth proportional to 10,903.68, 16,354.56 and 4,661.76 is: 6,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903.68 : 16,354.56 = 4,661.76 : x
  2. Step 2: Convert to fraction form
    10,903.68/16,354.56 = 4,661.76/x
  3. Step 3: Cross multiply
    10,903.68x = 16,354.56 × 4,661.76
  4. Step 4: Simplify right side
    10,903.68x = 76,241,033.63
  5. Step 5: Solve for x
    x = 76,241,033.63/10,903.68
  6. Step 6: Final answer
    x = 6,992.23

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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.