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Finding the Fourth Proportional to 10,483.83, 15,725.34 and 3,910.01

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Solution

The fourth proportional to 10,483.83, 15,725.34 and 3,910.01 is: 5,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.83 : 15,725.34 = 3,910.01 : x
  2. Step 2: Convert to fraction form
    10,483.83/15,725.34 = 3,910.01/x
  3. Step 3: Cross multiply
    10,483.83x = 15,725.34 × 3,910.01
  4. Step 4: Simplify right side
    10,483.83x = 61,486,158.03
  5. Step 5: Solve for x
    x = 61,486,158.03/10,483.83
  6. Step 6: Final answer
    x = 5,864.86

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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.