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Finding the Fourth Proportional to 10,429.74, 14,392.94 and 5,714.01

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Solution

The fourth proportional to 10,429.74, 14,392.94 and 5,714.01 is: 7,885.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.74 : 14,392.94 = 5,714.01 : x
  2. Step 2: Convert to fraction form
    10,429.74/14,392.94 = 5,714.01/x
  3. Step 3: Cross multiply
    10,429.74x = 14,392.94 × 5,714.01
  4. Step 4: Simplify right side
    10,429.74x = 82,241,374.52
  5. Step 5: Solve for x
    x = 82,241,374.52/10,429.74
  6. Step 6: Final answer
    x = 7,885.28

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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.