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Finding the Fourth Proportional to 10,771.69, 14,862.74 and 6,294.58

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Solution

The fourth proportional to 10,771.69, 14,862.74 and 6,294.58 is: 8,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.69 : 14,862.74 = 6,294.58 : x
  2. Step 2: Convert to fraction form
    10,771.69/14,862.74 = 6,294.58/x
  3. Step 3: Cross multiply
    10,771.69x = 14,862.74 × 6,294.58
  4. Step 4: Simplify right side
    10,771.69x = 93,554,705.95
  5. Step 5: Solve for x
    x = 93,554,705.95/10,771.69
  6. Step 6: Final answer
    x = 8,685.24

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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.