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Finding the Fourth Proportional to 11,866.95, 17,803.53 and 4,471.47

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Solution

The fourth proportional to 11,866.95, 17,803.53 and 4,471.47 is: 6,708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.95 : 17,803.53 = 4,471.47 : x
  2. Step 2: Convert to fraction form
    11,866.95/17,803.53 = 4,471.47/x
  3. Step 3: Cross multiply
    11,866.95x = 17,803.53 × 4,471.47
  4. Step 4: Simplify right side
    11,866.95x = 79,607,950.29
  5. Step 5: Solve for x
    x = 79,607,950.29/11,866.95
  6. Step 6: Final answer
    x = 6,708.37

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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.