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Finding the Fourth Proportional to 10,499.81, 15,740.78 and 4,653.23

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Solution

The fourth proportional to 10,499.81, 15,740.78 and 4,653.23 is: 6,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.81 : 15,740.78 = 4,653.23 : x
  2. Step 2: Convert to fraction form
    10,499.81/15,740.78 = 4,653.23/x
  3. Step 3: Cross multiply
    10,499.81x = 15,740.78 × 4,653.23
  4. Step 4: Simplify right side
    10,499.81x = 73,245,367.75
  5. Step 5: Solve for x
    x = 73,245,367.75/10,499.81
  6. Step 6: Final answer
    x = 6,975.88

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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.