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Finding the Fourth Proportional to 10,196.58, 15,293.03 and 2,800.06

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Solution

The fourth proportional to 10,196.58, 15,293.03 and 2,800.06 is: 4,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.58 : 15,293.03 = 2,800.06 : x
  2. Step 2: Convert to fraction form
    10,196.58/15,293.03 = 2,800.06/x
  3. Step 3: Cross multiply
    10,196.58x = 15,293.03 × 2,800.06
  4. Step 4: Simplify right side
    10,196.58x = 42,821,401.58
  5. Step 5: Solve for x
    x = 42,821,401.58/10,196.58
  6. Step 6: Final answer
    x = 4,199.58

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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.