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Finding the Fourth Proportional to 7,245.94, 10,000.29 and 4,102.06

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Solution

The fourth proportional to 7,245.94, 10,000.29 and 4,102.06 is: 5,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.94 : 10,000.29 = 4,102.06 : x
  2. Step 2: Convert to fraction form
    7,245.94/10,000.29 = 4,102.06/x
  3. Step 3: Cross multiply
    7,245.94x = 10,000.29 × 4,102.06
  4. Step 4: Simplify right side
    7,245.94x = 41,021,789.60
  5. Step 5: Solve for x
    x = 41,021,789.60/7,245.94
  6. Step 6: Final answer
    x = 5,661.35

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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.