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Finding the Fourth Proportional to 10,857.72, 14,983.68 and 5,889.72

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Solution

The fourth proportional to 10,857.72, 14,983.68 and 5,889.72 is: 8,127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.72 : 14,983.68 = 5,889.72 : x
  2. Step 2: Convert to fraction form
    10,857.72/14,983.68 = 5,889.72/x
  3. Step 3: Cross multiply
    10,857.72x = 14,983.68 × 5,889.72
  4. Step 4: Simplify right side
    10,857.72x = 88,249,679.77
  5. Step 5: Solve for x
    x = 88,249,679.77/10,857.72
  6. Step 6: Final answer
    x = 8,127.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.