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Finding the Fourth Proportional to 10,681.36, 16,000.28 and 8,714

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Solution

The fourth proportional to 10,681.36, 16,000.28 and 8,714 is: 13,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.36 : 16,000.28 = 8,714 : x
  2. Step 2: Convert to fraction form
    10,681.36/16,000.28 = 8,714/x
  3. Step 3: Cross multiply
    10,681.36x = 16,000.28 × 8,714
  4. Step 4: Simplify right side
    10,681.36x = 139,426,439.92
  5. Step 5: Solve for x
    x = 139,426,439.92/10,681.36
  6. Step 6: Final answer
    x = 13,053.25

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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.