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Finding the Fourth Proportional to 10,579.12, 15,857.34 and 5,029

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Solution

The fourth proportional to 10,579.12, 15,857.34 and 5,029 is: 7,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579.12 : 15,857.34 = 5,029 : x
  2. Step 2: Convert to fraction form
    10,579.12/15,857.34 = 5,029/x
  3. Step 3: Cross multiply
    10,579.12x = 15,857.34 × 5,029
  4. Step 4: Simplify right side
    10,579.12x = 79,746,562.86
  5. Step 5: Solve for x
    x = 79,746,562.86/10,579.12
  6. Step 6: Final answer
    x = 7,538.11

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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.