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Finding the Fourth Proportional to 10,782.86, 14,885.37 and 6,305.99

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Solution

The fourth proportional to 10,782.86, 14,885.37 and 6,305.99 is: 8,705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.86 : 14,885.37 = 6,305.99 : x
  2. Step 2: Convert to fraction form
    10,782.86/14,885.37 = 6,305.99/x
  3. Step 3: Cross multiply
    10,782.86x = 14,885.37 × 6,305.99
  4. Step 4: Simplify right side
    10,782.86x = 93,866,919.94
  5. Step 5: Solve for x
    x = 93,866,919.94/10,782.86
  6. Step 6: Final answer
    x = 8,705.20

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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.