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Finding the Fourth Proportional to 10,245.63, 14,133.87 and 6,259.80

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Solution

The fourth proportional to 10,245.63, 14,133.87 and 6,259.80 is: 8,635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.63 : 14,133.87 = 6,259.80 : x
  2. Step 2: Convert to fraction form
    10,245.63/14,133.87 = 6,259.80/x
  3. Step 3: Cross multiply
    10,245.63x = 14,133.87 × 6,259.80
  4. Step 4: Simplify right side
    10,245.63x = 88,475,199.43
  5. Step 5: Solve for x
    x = 88,475,199.43/10,245.63
  6. Step 6: Final answer
    x = 8,635.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.