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Finding the Fourth Proportional to 10,420.90, 14,365.86 and 7,431.54

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Solution

The fourth proportional to 10,420.90, 14,365.86 and 7,431.54 is: 10,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.90 : 14,365.86 = 7,431.54 : x
  2. Step 2: Convert to fraction form
    10,420.90/14,365.86 = 7,431.54/x
  3. Step 3: Cross multiply
    10,420.90x = 14,365.86 × 7,431.54
  4. Step 4: Simplify right side
    10,420.90x = 106,760,463.22
  5. Step 5: Solve for x
    x = 106,760,463.22/10,420.90
  6. Step 6: Final answer
    x = 10,244.84

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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.