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Finding the Fourth Proportional to 10,429.80, 15,644.78 and 4,105.32

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Solution

The fourth proportional to 10,429.80, 15,644.78 and 4,105.32 is: 6,158.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.80 : 15,644.78 = 4,105.32 : x
  2. Step 2: Convert to fraction form
    10,429.80/15,644.78 = 4,105.32/x
  3. Step 3: Cross multiply
    10,429.80x = 15,644.78 × 4,105.32
  4. Step 4: Simplify right side
    10,429.80x = 64,226,828.23
  5. Step 5: Solve for x
    x = 64,226,828.23/10,429.80
  6. Step 6: Final answer
    x = 6,158.01

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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.