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Finding the Fourth Proportional to 10,571.91, 14,582.41 and 8,048.51

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Solution

The fourth proportional to 10,571.91, 14,582.41 and 8,048.51 is: 11,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.91 : 14,582.41 = 8,048.51 : x
  2. Step 2: Convert to fraction form
    10,571.91/14,582.41 = 8,048.51/x
  3. Step 3: Cross multiply
    10,571.91x = 14,582.41 × 8,048.51
  4. Step 4: Simplify right side
    10,571.91x = 117,366,672.71
  5. Step 5: Solve for x
    x = 117,366,672.71/10,571.91
  6. Step 6: Final answer
    x = 11,101.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.