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Finding the Fourth Proportional to 10,429.68, 14,393.28 and 5,714.28

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Solution

The fourth proportional to 10,429.68, 14,393.28 and 5,714.28 is: 7,885.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.68 : 14,393.28 = 5,714.28 : x
  2. Step 2: Convert to fraction form
    10,429.68/14,393.28 = 5,714.28/x
  3. Step 3: Cross multiply
    10,429.68x = 14,393.28 × 5,714.28
  4. Step 4: Simplify right side
    10,429.68x = 82,247,232.04
  5. Step 5: Solve for x
    x = 82,247,232.04/10,429.68
  6. Step 6: Final answer
    x = 7,885.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.