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Finding the Fourth Proportional to 11,720.34, 16,173.90 and 6,415.08

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Solution

The fourth proportional to 11,720.34, 16,173.90 and 6,415.08 is: 8,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.34 : 16,173.90 = 6,415.08 : x
  2. Step 2: Convert to fraction form
    11,720.34/16,173.90 = 6,415.08/x
  3. Step 3: Cross multiply
    11,720.34x = 16,173.90 × 6,415.08
  4. Step 4: Simplify right side
    11,720.34x = 103,756,862.41
  5. Step 5: Solve for x
    x = 103,756,862.41/11,720.34
  6. Step 6: Final answer
    x = 8,852.72

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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.