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Finding the Fourth Proportional to 10,280.34, 15,410.70 and 4,737.42

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Solution

The fourth proportional to 10,280.34, 15,410.70 and 4,737.42 is: 7,101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.34 : 15,410.70 = 4,737.42 : x
  2. Step 2: Convert to fraction form
    10,280.34/15,410.70 = 4,737.42/x
  3. Step 3: Cross multiply
    10,280.34x = 15,410.70 × 4,737.42
  4. Step 4: Simplify right side
    10,280.34x = 73,006,958.39
  5. Step 5: Solve for x
    x = 73,006,958.39/10,280.34
  6. Step 6: Final answer
    x = 7,101.61

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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.