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Finding the Fourth Proportional to 10,952.01, 16,430.75 and 3,160.82

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Solution

The fourth proportional to 10,952.01, 16,430.75 and 3,160.82 is: 4,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.01 : 16,430.75 = 3,160.82 : x
  2. Step 2: Convert to fraction form
    10,952.01/16,430.75 = 3,160.82/x
  3. Step 3: Cross multiply
    10,952.01x = 16,430.75 × 3,160.82
  4. Step 4: Simplify right side
    10,952.01x = 51,934,680.34
  5. Step 5: Solve for x
    x = 51,934,680.34/10,952.01
  6. Step 6: Final answer
    x = 4,742.02

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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.