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Finding the Fourth Proportional to 10,166.04, 15,254.94 and 5,486.04

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Solution

The fourth proportional to 10,166.04, 15,254.94 and 5,486.04 is: 8,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.04 : 15,254.94 = 5,486.04 : x
  2. Step 2: Convert to fraction form
    10,166.04/15,254.94 = 5,486.04/x
  3. Step 3: Cross multiply
    10,166.04x = 15,254.94 × 5,486.04
  4. Step 4: Simplify right side
    10,166.04x = 83,689,211.04
  5. Step 5: Solve for x
    x = 83,689,211.04/10,166.04
  6. Step 6: Final answer
    x = 8,232.23

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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.