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Finding the Fourth Proportional to 10,202.76, 15,303.06 and 4,992.84

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Solution

The fourth proportional to 10,202.76, 15,303.06 and 4,992.84 is: 7,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.76 : 15,303.06 = 4,992.84 : x
  2. Step 2: Convert to fraction form
    10,202.76/15,303.06 = 4,992.84/x
  3. Step 3: Cross multiply
    10,202.76x = 15,303.06 × 4,992.84
  4. Step 4: Simplify right side
    10,202.76x = 76,405,730.09
  5. Step 5: Solve for x
    x = 76,405,730.09/10,202.76
  6. Step 6: Final answer
    x = 7,488.73

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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.