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Finding the Fourth Proportional to 10,802.34, 16,203.52 and 2,594.34

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Solution

The fourth proportional to 10,802.34, 16,203.52 and 2,594.34 is: 3,891.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.34 : 16,203.52 = 2,594.34 : x
  2. Step 2: Convert to fraction form
    10,802.34/16,203.52 = 2,594.34/x
  3. Step 3: Cross multiply
    10,802.34x = 16,203.52 × 2,594.34
  4. Step 4: Simplify right side
    10,802.34x = 42,037,494.35
  5. Step 5: Solve for x
    x = 42,037,494.35/10,802.34
  6. Step 6: Final answer
    x = 3,891.52

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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.