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Finding the Fourth Proportional to 10,139.49, 13,992.42 and 5,602.45

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Solution

The fourth proportional to 10,139.49, 13,992.42 and 5,602.45 is: 7,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.49 : 13,992.42 = 5,602.45 : x
  2. Step 2: Convert to fraction form
    10,139.49/13,992.42 = 5,602.45/x
  3. Step 3: Cross multiply
    10,139.49x = 13,992.42 × 5,602.45
  4. Step 4: Simplify right side
    10,139.49x = 78,391,829.94
  5. Step 5: Solve for x
    x = 78,391,829.94/10,139.49
  6. Step 6: Final answer
    x = 7,731.34

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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.