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Finding the Fourth Proportional to 10,401.59, 15,602.41 and 3,006.65

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Solution

The fourth proportional to 10,401.59, 15,602.41 and 3,006.65 is: 4,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.59 : 15,602.41 = 3,006.65 : x
  2. Step 2: Convert to fraction form
    10,401.59/15,602.41 = 3,006.65/x
  3. Step 3: Cross multiply
    10,401.59x = 15,602.41 × 3,006.65
  4. Step 4: Simplify right side
    10,401.59x = 46,910,892.98
  5. Step 5: Solve for x
    x = 46,910,892.98/10,401.59
  6. Step 6: Final answer
    x = 4,509.97

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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.