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Finding the Fourth Proportional to 11,543.04, 17,316.22 and 3,642.88

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Solution

The fourth proportional to 11,543.04, 17,316.22 and 3,642.88 is: 5,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.04 : 17,316.22 = 3,642.88 : x
  2. Step 2: Convert to fraction form
    11,543.04/17,316.22 = 3,642.88/x
  3. Step 3: Cross multiply
    11,543.04x = 17,316.22 × 3,642.88
  4. Step 4: Simplify right side
    11,543.04x = 63,080,911.51
  5. Step 5: Solve for x
    x = 63,080,911.51/11,543.04
  6. Step 6: Final answer
    x = 5,464.84

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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.