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Finding the Fourth Proportional to 10,139.59, 13,993.18 and 5,663.44

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Solution

The fourth proportional to 10,139.59, 13,993.18 and 5,663.44 is: 7,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.59 : 13,993.18 = 5,663.44 : x
  2. Step 2: Convert to fraction form
    10,139.59/13,993.18 = 5,663.44/x
  3. Step 3: Cross multiply
    10,139.59x = 13,993.18 × 5,663.44
  4. Step 4: Simplify right side
    10,139.59x = 79,249,486.20
  5. Step 5: Solve for x
    x = 79,249,486.20/10,139.59
  6. Step 6: Final answer
    x = 7,815.85

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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.