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Finding the Fourth Proportional to 10,434.64, 15,652.80 and 3,411.88

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Solution

The fourth proportional to 10,434.64, 15,652.80 and 3,411.88 is: 5,118.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.64 : 15,652.80 = 3,411.88 : x
  2. Step 2: Convert to fraction form
    10,434.64/15,652.80 = 3,411.88/x
  3. Step 3: Cross multiply
    10,434.64x = 15,652.80 × 3,411.88
  4. Step 4: Simplify right side
    10,434.64x = 53,405,475.26
  5. Step 5: Solve for x
    x = 53,405,475.26/10,434.64
  6. Step 6: Final answer
    x = 5,118.09

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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.