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Finding the Fourth Proportional to 10,089.63, 13,915.80 and 6,553.98

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Solution

The fourth proportional to 10,089.63, 13,915.80 and 6,553.98 is: 9,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.63 : 13,915.80 = 6,553.98 : x
  2. Step 2: Convert to fraction form
    10,089.63/13,915.80 = 6,553.98/x
  3. Step 3: Cross multiply
    10,089.63x = 13,915.80 × 6,553.98
  4. Step 4: Simplify right side
    10,089.63x = 91,203,874.88
  5. Step 5: Solve for x
    x = 91,203,874.88/10,089.63
  6. Step 6: Final answer
    x = 9,039.37

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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.