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Finding the Fourth Proportional to 10,968.40, 16,416.15 and 9,656.20

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Solution

The fourth proportional to 10,968.40, 16,416.15 and 9,656.20 is: 14,452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968.40 : 16,416.15 = 9,656.20 : x
  2. Step 2: Convert to fraction form
    10,968.40/16,416.15 = 9,656.20/x
  3. Step 3: Cross multiply
    10,968.40x = 16,416.15 × 9,656.20
  4. Step 4: Simplify right side
    10,968.40x = 158,517,627.63
  5. Step 5: Solve for x
    x = 158,517,627.63/10,968.40
  6. Step 6: Final answer
    x = 14,452.21

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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.