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Finding the Fourth Proportional to 10,602.18, 15,900.44 and 3,204.65

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Solution

The fourth proportional to 10,602.18, 15,900.44 and 3,204.65 is: 4,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.18 : 15,900.44 = 3,204.65 : x
  2. Step 2: Convert to fraction form
    10,602.18/15,900.44 = 3,204.65/x
  3. Step 3: Cross multiply
    10,602.18x = 15,900.44 × 3,204.65
  4. Step 4: Simplify right side
    10,602.18x = 50,955,368.77
  5. Step 5: Solve for x
    x = 50,955,368.77/10,602.18
  6. Step 6: Final answer
    x = 4,806.12

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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.