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Finding the Fourth Proportional to 10,140.59, 13,993.70 and 5,892.01

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Solution

The fourth proportional to 10,140.59, 13,993.70 and 5,892.01 is: 8,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.59 : 13,993.70 = 5,892.01 : x
  2. Step 2: Convert to fraction form
    10,140.59/13,993.70 = 5,892.01/x
  3. Step 3: Cross multiply
    10,140.59x = 13,993.70 × 5,892.01
  4. Step 4: Simplify right side
    10,140.59x = 82,450,955.89
  5. Step 5: Solve for x
    x = 82,450,955.89/10,140.59
  6. Step 6: Final answer
    x = 8,130.78

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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.