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Finding the Fourth Proportional to 11,985.80, 17,975.05 and 5,742.59

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Solution

The fourth proportional to 11,985.80, 17,975.05 and 5,742.59 is: 8,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.80 : 17,975.05 = 5,742.59 : x
  2. Step 2: Convert to fraction form
    11,985.80/17,975.05 = 5,742.59/x
  3. Step 3: Cross multiply
    11,985.80x = 17,975.05 × 5,742.59
  4. Step 4: Simplify right side
    11,985.80x = 103,223,238.15
  5. Step 5: Solve for x
    x = 103,223,238.15/11,985.80
  6. Step 6: Final answer
    x = 8,612.13

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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.