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Finding the Fourth Proportional to 10,603.18, 15,901.93 and 3,205.65

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Solution

The fourth proportional to 10,603.18, 15,901.93 and 3,205.65 is: 4,807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.18 : 15,901.93 = 3,205.65 : x
  2. Step 2: Convert to fraction form
    10,603.18/15,901.93 = 3,205.65/x
  3. Step 3: Cross multiply
    10,603.18x = 15,901.93 × 3,205.65
  4. Step 4: Simplify right side
    10,603.18x = 50,976,021.90
  5. Step 5: Solve for x
    x = 50,976,021.90/10,603.18
  6. Step 6: Final answer
    x = 4,807.62

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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.