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Finding the Fourth Proportional to 10,077.96, 13,903.70 and 7,431.64

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Solution

The fourth proportional to 10,077.96, 13,903.70 and 7,431.64 is: 10,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.96 : 13,903.70 = 7,431.64 : x
  2. Step 2: Convert to fraction form
    10,077.96/13,903.70 = 7,431.64/x
  3. Step 3: Cross multiply
    10,077.96x = 13,903.70 × 7,431.64
  4. Step 4: Simplify right side
    10,077.96x = 103,327,293.07
  5. Step 5: Solve for x
    x = 103,327,293.07/10,077.96
  6. Step 6: Final answer
    x = 10,252.80

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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.