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Finding the Fourth Proportional to 11,681.51, 17,527.39 and 6,133.57

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Solution

The fourth proportional to 11,681.51, 17,527.39 and 6,133.57 is: 9,203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.51 : 17,527.39 = 6,133.57 : x
  2. Step 2: Convert to fraction form
    11,681.51/17,527.39 = 6,133.57/x
  3. Step 3: Cross multiply
    11,681.51x = 17,527.39 × 6,133.57
  4. Step 4: Simplify right side
    11,681.51x = 107,505,473.48
  5. Step 5: Solve for x
    x = 107,505,473.48/11,681.51
  6. Step 6: Final answer
    x = 9,203.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.