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Finding the Fourth Proportional to 11,586.98, 15,989.87 and 6,551.08

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Solution

The fourth proportional to 11,586.98, 15,989.87 and 6,551.08 is: 9,040.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.98 : 15,989.87 = 6,551.08 : x
  2. Step 2: Convert to fraction form
    11,586.98/15,989.87 = 6,551.08/x
  3. Step 3: Cross multiply
    11,586.98x = 15,989.87 × 6,551.08
  4. Step 4: Simplify right side
    11,586.98x = 104,750,893.96
  5. Step 5: Solve for x
    x = 104,750,893.96/11,586.98
  6. Step 6: Final answer
    x = 9,040.39

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Why These Related Problems?

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