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Finding the Fourth Proportional to 10,973.16, 16,461 and 3,181.68

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Solution

The fourth proportional to 10,973.16, 16,461 and 3,181.68 is: 4,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.16 : 16,461 = 3,181.68 : x
  2. Step 2: Convert to fraction form
    10,973.16/16,461 = 3,181.68/x
  3. Step 3: Cross multiply
    10,973.16x = 16,461 × 3,181.68
  4. Step 4: Simplify right side
    10,973.16x = 52,373,634.48
  5. Step 5: Solve for x
    x = 52,373,634.48/10,973.16
  6. Step 6: Final answer
    x = 4,772.89

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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.