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Finding the Fourth Proportional to 10,401.63, 15,603.95 and 3,006.15

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Solution

The fourth proportional to 10,401.63, 15,603.95 and 3,006.15 is: 4,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.63 : 15,603.95 = 3,006.15 : x
  2. Step 2: Convert to fraction form
    10,401.63/15,603.95 = 3,006.15/x
  3. Step 3: Cross multiply
    10,401.63x = 15,603.95 × 3,006.15
  4. Step 4: Simplify right side
    10,401.63x = 46,907,814.29
  5. Step 5: Solve for x
    x = 46,907,814.29/10,401.63
  6. Step 6: Final answer
    x = 4,509.66

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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.