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Finding the Fourth Proportional to 10,973.34, 16,460.73 and 3,181.50

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Solution

The fourth proportional to 10,973.34, 16,460.73 and 3,181.50 is: 4,772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.34 : 16,460.73 = 3,181.50 : x
  2. Step 2: Convert to fraction form
    10,973.34/16,460.73 = 3,181.50/x
  3. Step 3: Cross multiply
    10,973.34x = 16,460.73 × 3,181.50
  4. Step 4: Simplify right side
    10,973.34x = 52,369,812.50
  5. Step 5: Solve for x
    x = 52,369,812.50/10,973.34
  6. Step 6: Final answer
    x = 4,772.46

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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.