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Finding the Fourth Proportional to 10,710.33, 16,056.84 and 4,475.12

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Solution

The fourth proportional to 10,710.33, 16,056.84 and 4,475.12 is: 6,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.33 : 16,056.84 = 4,475.12 : x
  2. Step 2: Convert to fraction form
    10,710.33/16,056.84 = 4,475.12/x
  3. Step 3: Cross multiply
    10,710.33x = 16,056.84 × 4,475.12
  4. Step 4: Simplify right side
    10,710.33x = 71,856,285.82
  5. Step 5: Solve for x
    x = 71,856,285.82/10,710.33
  6. Step 6: Final answer
    x = 6,709.06

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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.