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Finding the Fourth Proportional to 10,500.34, 15,753.85 and 3,104.84

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Solution

The fourth proportional to 10,500.34, 15,753.85 and 3,104.84 is: 4,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.34 : 15,753.85 = 3,104.84 : x
  2. Step 2: Convert to fraction form
    10,500.34/15,753.85 = 3,104.84/x
  3. Step 3: Cross multiply
    10,500.34x = 15,753.85 × 3,104.84
  4. Step 4: Simplify right side
    10,500.34x = 48,913,089.34
  5. Step 5: Solve for x
    x = 48,913,089.34/10,500.34
  6. Step 6: Final answer
    x = 4,658.24

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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.