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Finding the Fourth Proportional to 10,769.69, 14,862.02 and 6,053.98

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Solution

The fourth proportional to 10,769.69, 14,862.02 and 6,053.98 is: 8,354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.69 : 14,862.02 = 6,053.98 : x
  2. Step 2: Convert to fraction form
    10,769.69/14,862.02 = 6,053.98/x
  3. Step 3: Cross multiply
    10,769.69x = 14,862.02 × 6,053.98
  4. Step 4: Simplify right side
    10,769.69x = 89,974,371.84
  5. Step 5: Solve for x
    x = 89,974,371.84/10,769.69
  6. Step 6: Final answer
    x = 8,354.41

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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.