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Finding the Fourth Proportional to 10,725.90, 16,056.45 and 9,429.90

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Solution

The fourth proportional to 10,725.90, 16,056.45 and 9,429.90 is: 14,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.90 : 16,056.45 = 9,429.90 : x
  2. Step 2: Convert to fraction form
    10,725.90/16,056.45 = 9,429.90/x
  3. Step 3: Cross multiply
    10,725.90x = 16,056.45 × 9,429.90
  4. Step 4: Simplify right side
    10,725.90x = 151,410,717.86
  5. Step 5: Solve for x
    x = 151,410,717.86/10,725.90
  6. Step 6: Final answer
    x = 14,116.36

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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.