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Finding the Fourth Proportional to 10,029.56, 15,044.40 and 3,104

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Solution

The fourth proportional to 10,029.56, 15,044.40 and 3,104 is: 4,656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.56 : 15,044.40 = 3,104 : x
  2. Step 2: Convert to fraction form
    10,029.56/15,044.40 = 3,104/x
  3. Step 3: Cross multiply
    10,029.56x = 15,044.40 × 3,104
  4. Step 4: Simplify right side
    10,029.56x = 46,697,817.60
  5. Step 5: Solve for x
    x = 46,697,817.60/10,029.56
  6. Step 6: Final answer
    x = 4,656.02

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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.