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Finding the Fourth Proportional to 10,287.41, 15,439.76 and 7,953.69

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Solution

The fourth proportional to 10,287.41, 15,439.76 and 7,953.69 is: 11,937.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.41 : 15,439.76 = 7,953.69 : x
  2. Step 2: Convert to fraction form
    10,287.41/15,439.76 = 7,953.69/x
  3. Step 3: Cross multiply
    10,287.41x = 15,439.76 × 7,953.69
  4. Step 4: Simplify right side
    10,287.41x = 122,803,157.41
  5. Step 5: Solve for x
    x = 122,803,157.41/10,287.41
  6. Step 6: Final answer
    x = 11,937.23

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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.