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Finding the Fourth Proportional to 10,076.96, 13,902.32 and 7,430.64

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Solution

The fourth proportional to 10,076.96, 13,902.32 and 7,430.64 is: 10,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.96 : 13,902.32 = 7,430.64 : x
  2. Step 2: Convert to fraction form
    10,076.96/13,902.32 = 7,430.64/x
  3. Step 3: Cross multiply
    10,076.96x = 13,902.32 × 7,430.64
  4. Step 4: Simplify right side
    10,076.96x = 103,303,135.08
  5. Step 5: Solve for x
    x = 103,303,135.08/10,076.96
  6. Step 6: Final answer
    x = 10,251.42

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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.