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Finding the Fourth Proportional to 10,674.02, 14,729.08 and 5,893.65

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Solution

The fourth proportional to 10,674.02, 14,729.08 and 5,893.65 is: 8,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.02 : 14,729.08 = 5,893.65 : x
  2. Step 2: Convert to fraction form
    10,674.02/14,729.08 = 5,893.65/x
  3. Step 3: Cross multiply
    10,674.02x = 14,729.08 × 5,893.65
  4. Step 4: Simplify right side
    10,674.02x = 86,808,042.34
  5. Step 5: Solve for x
    x = 86,808,042.34/10,674.02
  6. Step 6: Final answer
    x = 8,132.65

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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.