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Finding the Fourth Proportional to 10,864.88, 16,284.84 and 4,615.64

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Solution

The fourth proportional to 10,864.88, 16,284.84 and 4,615.64 is: 6,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.88 : 16,284.84 = 4,615.64 : x
  2. Step 2: Convert to fraction form
    10,864.88/16,284.84 = 4,615.64/x
  3. Step 3: Cross multiply
    10,864.88x = 16,284.84 × 4,615.64
  4. Step 4: Simplify right side
    10,864.88x = 75,164,958.90
  5. Step 5: Solve for x
    x = 75,164,958.90/10,864.88
  6. Step 6: Final answer
    x = 6,918.16

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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.