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Finding the Fourth Proportional to 10,802.75, 16,204.13 and 2,594.75

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Solution

The fourth proportional to 10,802.75, 16,204.13 and 2,594.75 is: 3,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.75 : 16,204.13 = 2,594.75 : x
  2. Step 2: Convert to fraction form
    10,802.75/16,204.13 = 2,594.75/x
  3. Step 3: Cross multiply
    10,802.75x = 16,204.13 × 2,594.75
  4. Step 4: Simplify right side
    10,802.75x = 42,045,666.32
  5. Step 5: Solve for x
    x = 42,045,666.32/10,802.75
  6. Step 6: Final answer
    x = 3,892.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.