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Finding the Fourth Proportional to 11,586.84, 15,989.20 and 6,550.74

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Solution

The fourth proportional to 11,586.84, 15,989.20 and 6,550.74 is: 9,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.84 : 15,989.20 = 6,550.74 : x
  2. Step 2: Convert to fraction form
    11,586.84/15,989.20 = 6,550.74/x
  3. Step 3: Cross multiply
    11,586.84x = 15,989.20 × 6,550.74
  4. Step 4: Simplify right side
    11,586.84x = 104,741,075.63
  5. Step 5: Solve for x
    x = 104,741,075.63/11,586.84
  6. Step 6: Final answer
    x = 9,039.66

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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.