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Finding the Fourth Proportional to 11,536.31, 17,298.99 and 5,984.10

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Solution

The fourth proportional to 11,536.31, 17,298.99 and 5,984.10 is: 8,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.31 : 17,298.99 = 5,984.10 : x
  2. Step 2: Convert to fraction form
    11,536.31/17,298.99 = 5,984.10/x
  3. Step 3: Cross multiply
    11,536.31x = 17,298.99 × 5,984.10
  4. Step 4: Simplify right side
    11,536.31x = 103,518,886.06
  5. Step 5: Solve for x
    x = 103,518,886.06/11,536.31
  6. Step 6: Final answer
    x = 8,973.31

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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.