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Finding the Fourth Proportional to 10,689.28, 16,106.89 and 8,784.16

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Solution

The fourth proportional to 10,689.28, 16,106.89 and 8,784.16 is: 13,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.28 : 16,106.89 = 8,784.16 : x
  2. Step 2: Convert to fraction form
    10,689.28/16,106.89 = 8,784.16/x
  3. Step 3: Cross multiply
    10,689.28x = 16,106.89 × 8,784.16
  4. Step 4: Simplify right side
    10,689.28x = 141,485,498.86
  5. Step 5: Solve for x
    x = 141,485,498.86/10,689.28
  6. Step 6: Final answer
    x = 13,236.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.