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Finding the Fourth Proportional to 10,475.93, 15,713.89 and 3,080.45

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Solution

The fourth proportional to 10,475.93, 15,713.89 and 3,080.45 is: 4,620.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.93 : 15,713.89 = 3,080.45 : x
  2. Step 2: Convert to fraction form
    10,475.93/15,713.89 = 3,080.45/x
  3. Step 3: Cross multiply
    10,475.93x = 15,713.89 × 3,080.45
  4. Step 4: Simplify right side
    10,475.93x = 48,405,852.45
  5. Step 5: Solve for x
    x = 48,405,852.45/10,475.93
  6. Step 6: Final answer
    x = 4,620.67

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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.