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Finding the Fourth Proportional to 10,038.03, 15,059.69 and 3,464.69

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Solution

The fourth proportional to 10,038.03, 15,059.69 and 3,464.69 is: 5,197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.03 : 15,059.69 = 3,464.69 : x
  2. Step 2: Convert to fraction form
    10,038.03/15,059.69 = 3,464.69/x
  3. Step 3: Cross multiply
    10,038.03x = 15,059.69 × 3,464.69
  4. Step 4: Simplify right side
    10,038.03x = 52,177,064.72
  5. Step 5: Solve for x
    x = 52,177,064.72/10,038.03
  6. Step 6: Final answer
    x = 5,197.94

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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.