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Finding the Fourth Proportional to 11,407.12, 17,111.76 and 4,480

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Solution

The fourth proportional to 11,407.12, 17,111.76 and 4,480 is: 6,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.12 : 17,111.76 = 4,480 : x
  2. Step 2: Convert to fraction form
    11,407.12/17,111.76 = 4,480/x
  3. Step 3: Cross multiply
    11,407.12x = 17,111.76 × 4,480
  4. Step 4: Simplify right side
    11,407.12x = 76,660,684.80
  5. Step 5: Solve for x
    x = 76,660,684.80/11,407.12
  6. Step 6: Final answer
    x = 6,720.42

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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.