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Finding the Fourth Proportional to 10,811.88, 14,913.06 and 6,829.62

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Solution

The fourth proportional to 10,811.88, 14,913.06 and 6,829.62 is: 9,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.88 : 14,913.06 = 6,829.62 : x
  2. Step 2: Convert to fraction form
    10,811.88/14,913.06 = 6,829.62/x
  3. Step 3: Cross multiply
    10,811.88x = 14,913.06 × 6,829.62
  4. Step 4: Simplify right side
    10,811.88x = 101,850,532.84
  5. Step 5: Solve for x
    x = 101,850,532.84/10,811.88
  6. Step 6: Final answer
    x = 9,420.24

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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.