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Finding the Fourth Proportional to 11,549.44, 17,317.68 and 6,870.88

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Solution

The fourth proportional to 11,549.44, 17,317.68 and 6,870.88 is: 10,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.44 : 17,317.68 = 6,870.88 : x
  2. Step 2: Convert to fraction form
    11,549.44/17,317.68 = 6,870.88/x
  3. Step 3: Cross multiply
    11,549.44x = 17,317.68 × 6,870.88
  4. Step 4: Simplify right side
    11,549.44x = 118,987,701.16
  5. Step 5: Solve for x
    x = 118,987,701.16/11,549.44
  6. Step 6: Final answer
    x = 10,302.46

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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.