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Finding the Fourth Proportional to 10,900.42, 16,346.31 and 7,029.70

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Solution

The fourth proportional to 10,900.42, 16,346.31 and 7,029.70 is: 10,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.42 : 16,346.31 = 7,029.70 : x
  2. Step 2: Convert to fraction form
    10,900.42/16,346.31 = 7,029.70/x
  3. Step 3: Cross multiply
    10,900.42x = 16,346.31 × 7,029.70
  4. Step 4: Simplify right side
    10,900.42x = 114,909,655.41
  5. Step 5: Solve for x
    x = 114,909,655.41/10,900.42
  6. Step 6: Final answer
    x = 10,541.76

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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.