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Finding the Fourth Proportional to 10,837.60, 16,256.40 and 8,893.60

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Solution

The fourth proportional to 10,837.60, 16,256.40 and 8,893.60 is: 13,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,837.60 : 16,256.40 = 8,893.60 : x
  2. Step 2: Convert to fraction form
    10,837.60/16,256.40 = 8,893.60/x
  3. Step 3: Cross multiply
    10,837.60x = 16,256.40 × 8,893.60
  4. Step 4: Simplify right side
    10,837.60x = 144,577,919.04
  5. Step 5: Solve for x
    x = 144,577,919.04/10,837.60
  6. Step 6: Final answer
    x = 13,340.40

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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.