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Finding the Fourth Proportional to 10,431.87, 14,393.65 and 5,954.19

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Solution

The fourth proportional to 10,431.87, 14,393.65 and 5,954.19 is: 8,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.87 : 14,393.65 = 5,954.19 : x
  2. Step 2: Convert to fraction form
    10,431.87/14,393.65 = 5,954.19/x
  3. Step 3: Cross multiply
    10,431.87x = 14,393.65 × 5,954.19
  4. Step 4: Simplify right side
    10,431.87x = 85,702,526.89
  5. Step 5: Solve for x
    x = 85,702,526.89/10,431.87
  6. Step 6: Final answer
    x = 8,215.45

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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.