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Finding the Fourth Proportional to 10,440.47, 15,661.98 and 3,866.69

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Solution

The fourth proportional to 10,440.47, 15,661.98 and 3,866.69 is: 5,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.47 : 15,661.98 = 3,866.69 : x
  2. Step 2: Convert to fraction form
    10,440.47/15,661.98 = 3,866.69/x
  3. Step 3: Cross multiply
    10,440.47x = 15,661.98 × 3,866.69
  4. Step 4: Simplify right side
    10,440.47x = 60,559,943.14
  5. Step 5: Solve for x
    x = 60,559,943.14/10,440.47
  6. Step 6: Final answer
    x = 5,800.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.