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Finding the Fourth Proportional to 13,762.28, 18,991.32 and 7,713.04

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Solution

The fourth proportional to 13,762.28, 18,991.32 and 7,713.04 is: 10,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.28 : 18,991.32 = 7,713.04 : x
  2. Step 2: Convert to fraction form
    13,762.28/18,991.32 = 7,713.04/x
  3. Step 3: Cross multiply
    13,762.28x = 18,991.32 × 7,713.04
  4. Step 4: Simplify right side
    13,762.28x = 146,480,810.81
  5. Step 5: Solve for x
    x = 146,480,810.81/13,762.28
  6. Step 6: Final answer
    x = 10,643.64

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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.