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Finding the Fourth Proportional to 10,817.88, 14,929.02 and 6,102.24

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Solution

The fourth proportional to 10,817.88, 14,929.02 and 6,102.24 is: 8,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.88 : 14,929.02 = 6,102.24 : x
  2. Step 2: Convert to fraction form
    10,817.88/14,929.02 = 6,102.24/x
  3. Step 3: Cross multiply
    10,817.88x = 14,929.02 × 6,102.24
  4. Step 4: Simplify right side
    10,817.88x = 91,100,463.00
  5. Step 5: Solve for x
    x = 91,100,463.00/10,817.88
  6. Step 6: Final answer
    x = 8,421.29

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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.