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Finding the Fourth Proportional to 10,571.58, 14,582.37 and 6,986.57

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Solution

The fourth proportional to 10,571.58, 14,582.37 and 6,986.57 is: 9,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.58 : 14,582.37 = 6,986.57 : x
  2. Step 2: Convert to fraction form
    10,571.58/14,582.37 = 6,986.57/x
  3. Step 3: Cross multiply
    10,571.58x = 14,582.37 × 6,986.57
  4. Step 4: Simplify right side
    10,571.58x = 101,880,675.86
  5. Step 5: Solve for x
    x = 101,880,675.86/10,571.58
  6. Step 6: Final answer
    x = 9,637.22

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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.