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Finding the Fourth Proportional to 10,802.50, 14,903.82 and 8,809.60

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Solution

The fourth proportional to 10,802.50, 14,903.82 and 8,809.60 is: 12,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.50 : 14,903.82 = 8,809.60 : x
  2. Step 2: Convert to fraction form
    10,802.50/14,903.82 = 8,809.60/x
  3. Step 3: Cross multiply
    10,802.50x = 14,903.82 × 8,809.60
  4. Step 4: Simplify right side
    10,802.50x = 131,296,692.67
  5. Step 5: Solve for x
    x = 131,296,692.67/10,802.50
  6. Step 6: Final answer
    x = 12,154.29

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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.