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Finding the Fourth Proportional to 10,840.20, 16,262.70 and 8,507.40

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Solution

The fourth proportional to 10,840.20, 16,262.70 and 8,507.40 is: 12,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.20 : 16,262.70 = 8,507.40 : x
  2. Step 2: Convert to fraction form
    10,840.20/16,262.70 = 8,507.40/x
  3. Step 3: Cross multiply
    10,840.20x = 16,262.70 × 8,507.40
  4. Step 4: Simplify right side
    10,840.20x = 138,353,293.98
  5. Step 5: Solve for x
    x = 138,353,293.98/10,840.20
  6. Step 6: Final answer
    x = 12,762.98

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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.