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Finding the Fourth Proportional to 10,245.88, 14,148.57 and 6,475.74

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Solution

The fourth proportional to 10,245.88, 14,148.57 and 6,475.74 is: 8,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.88 : 14,148.57 = 6,475.74 : x
  2. Step 2: Convert to fraction form
    10,245.88/14,148.57 = 6,475.74/x
  3. Step 3: Cross multiply
    10,245.88x = 14,148.57 × 6,475.74
  4. Step 4: Simplify right side
    10,245.88x = 91,622,460.69
  5. Step 5: Solve for x
    x = 91,622,460.69/10,245.88
  6. Step 6: Final answer
    x = 8,942.37

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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.