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Finding the Fourth Proportional to 11,164.26, 15,406.08 and 6,690.48

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Solution

The fourth proportional to 11,164.26, 15,406.08 and 6,690.48 is: 9,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.26 : 15,406.08 = 6,690.48 : x
  2. Step 2: Convert to fraction form
    11,164.26/15,406.08 = 6,690.48/x
  3. Step 3: Cross multiply
    11,164.26x = 15,406.08 × 6,690.48
  4. Step 4: Simplify right side
    11,164.26x = 103,074,070.12
  5. Step 5: Solve for x
    x = 103,074,070.12/11,164.26
  6. Step 6: Final answer
    x = 9,232.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.