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Finding the Fourth Proportional to 10,905.80, 16,358.70 and 7,406.60

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Solution

The fourth proportional to 10,905.80, 16,358.70 and 7,406.60 is: 11,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.80 : 16,358.70 = 7,406.60 : x
  2. Step 2: Convert to fraction form
    10,905.80/16,358.70 = 7,406.60/x
  3. Step 3: Cross multiply
    10,905.80x = 16,358.70 × 7,406.60
  4. Step 4: Simplify right side
    10,905.80x = 121,162,347.42
  5. Step 5: Solve for x
    x = 121,162,347.42/10,905.80
  6. Step 6: Final answer
    x = 11,109.90

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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.