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Finding the Fourth Proportional to 10,595.93, 15,893.99 and 3,200.45

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Solution

The fourth proportional to 10,595.93, 15,893.99 and 3,200.45 is: 4,800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.93 : 15,893.99 = 3,200.45 : x
  2. Step 2: Convert to fraction form
    10,595.93/15,893.99 = 3,200.45/x
  3. Step 3: Cross multiply
    10,595.93x = 15,893.99 × 3,200.45
  4. Step 4: Simplify right side
    10,595.93x = 50,867,824.82
  5. Step 5: Solve for x
    x = 50,867,824.82/10,595.93
  6. Step 6: Final answer
    x = 4,800.70

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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.