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Finding the Fourth Proportional to 11,409.28, 17,109.60 and 4,480

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Solution

The fourth proportional to 11,409.28, 17,109.60 and 4,480 is: 6,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.28 : 17,109.60 = 4,480 : x
  2. Step 2: Convert to fraction form
    11,409.28/17,109.60 = 4,480/x
  3. Step 3: Cross multiply
    11,409.28x = 17,109.60 × 4,480
  4. Step 4: Simplify right side
    11,409.28x = 76,651,008
  5. Step 5: Solve for x
    x = 76,651,008/11,409.28
  6. Step 6: Final answer
    x = 6,718.30

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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.