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Finding the Fourth Proportional to 10,415.79, 14,369.70 and 6,429.99

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Solution

The fourth proportional to 10,415.79, 14,369.70 and 6,429.99 is: 8,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.79 : 14,369.70 = 6,429.99 : x
  2. Step 2: Convert to fraction form
    10,415.79/14,369.70 = 6,429.99/x
  3. Step 3: Cross multiply
    10,415.79x = 14,369.70 × 6,429.99
  4. Step 4: Simplify right side
    10,415.79x = 92,397,027.30
  5. Step 5: Solve for x
    x = 92,397,027.30/10,415.79
  6. Step 6: Final answer
    x = 8,870.86

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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.