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Finding the Fourth Proportional to 10,603.13, 15,904.69 and 3,207.42

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Solution

The fourth proportional to 10,603.13, 15,904.69 and 3,207.42 is: 4,811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.13 : 15,904.69 = 3,207.42 : x
  2. Step 2: Convert to fraction form
    10,603.13/15,904.69 = 3,207.42/x
  3. Step 3: Cross multiply
    10,603.13x = 15,904.69 × 3,207.42
  4. Step 4: Simplify right side
    10,603.13x = 51,013,020.80
  5. Step 5: Solve for x
    x = 51,013,020.80/10,603.13
  6. Step 6: Final answer
    x = 4,811.13

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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.