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Finding the Fourth Proportional to 10,769.22, 14,862.86 and 6,053.50

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Solution

The fourth proportional to 10,769.22, 14,862.86 and 6,053.50 is: 8,354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.22 : 14,862.86 = 6,053.50 : x
  2. Step 2: Convert to fraction form
    10,769.22/14,862.86 = 6,053.50/x
  3. Step 3: Cross multiply
    10,769.22x = 14,862.86 × 6,053.50
  4. Step 4: Simplify right side
    10,769.22x = 89,972,334.02
  5. Step 5: Solve for x
    x = 89,972,334.02/10,769.22
  6. Step 6: Final answer
    x = 8,354.58

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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.