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Finding the Fourth Proportional to 10,139.25, 13,992.13 and 5,663.00

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Solution

The fourth proportional to 10,139.25, 13,992.13 and 5,663.00 is: 7,814.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.25 : 13,992.13 = 5,663.00 : x
  2. Step 2: Convert to fraction form
    10,139.25/13,992.13 = 5,663.00/x
  3. Step 3: Cross multiply
    10,139.25x = 13,992.13 × 5,663.00
  4. Step 4: Simplify right side
    10,139.25x = 79,237,474.25
  5. Step 5: Solve for x
    x = 79,237,474.25/10,139.25
  6. Step 6: Final answer
    x = 7,814.92

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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.