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Finding the Fourth Proportional to 10,429.98, 14,393.91 and 5,713.98

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Solution

The fourth proportional to 10,429.98, 14,393.91 and 5,713.98 is: 7,885.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.98 : 14,393.91 = 5,713.98 : x
  2. Step 2: Convert to fraction form
    10,429.98/14,393.91 = 5,713.98/x
  3. Step 3: Cross multiply
    10,429.98x = 14,393.91 × 5,713.98
  4. Step 4: Simplify right side
    10,429.98x = 82,246,513.86
  5. Step 5: Solve for x
    x = 82,246,513.86/10,429.98
  6. Step 6: Final answer
    x = 7,885.59

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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.