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Finding the Fourth Proportional to 10,807.50, 14,910.72 and 8,814.60

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Solution

The fourth proportional to 10,807.50, 14,910.72 and 8,814.60 is: 12,161.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.50 : 14,910.72 = 8,814.60 : x
  2. Step 2: Convert to fraction form
    10,807.50/14,910.72 = 8,814.60/x
  3. Step 3: Cross multiply
    10,807.50x = 14,910.72 × 8,814.60
  4. Step 4: Simplify right side
    10,807.50x = 131,432,032.51
  5. Step 5: Solve for x
    x = 131,432,032.51/10,807.50
  6. Step 6: Final answer
    x = 12,161.19

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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.