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Finding the Fourth Proportional to 10,710.30, 16,059.69 and 3,311.58

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Solution

The fourth proportional to 10,710.30, 16,059.69 and 3,311.58 is: 4,965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.30 : 16,059.69 = 3,311.58 : x
  2. Step 2: Convert to fraction form
    10,710.30/16,059.69 = 3,311.58/x
  3. Step 3: Cross multiply
    10,710.30x = 16,059.69 × 3,311.58
  4. Step 4: Simplify right side
    10,710.30x = 53,182,948.21
  5. Step 5: Solve for x
    x = 53,182,948.21/10,710.30
  6. Step 6: Final answer
    x = 4,965.59

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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.