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Finding the Fourth Proportional to 43,410, 65,115 and 10,578

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Solution

The fourth proportional to 43,410, 65,115 and 10,578 is: 15,867

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,410 : 65,115 = 10,578 : x
  2. Step 2: Convert to fraction form
    43,410/65,115 = 10,578/x
  3. Step 3: Cross multiply
    43,410x = 65,115 × 10,578
  4. Step 4: Simplify right side
    43,410x = 688,786,470
  5. Step 5: Solve for x
    x = 688,786,470/43,410
  6. Step 6: Final answer
    x = 15,867

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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.