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Finding the Fourth Proportional to 10,509.63, 14,504.18 and 5,794.89

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Solution

The fourth proportional to 10,509.63, 14,504.18 and 5,794.89 is: 7,997.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.63 : 14,504.18 = 5,794.89 : x
  2. Step 2: Convert to fraction form
    10,509.63/14,504.18 = 5,794.89/x
  3. Step 3: Cross multiply
    10,509.63x = 14,504.18 × 5,794.89
  4. Step 4: Simplify right side
    10,509.63x = 84,050,098.67
  5. Step 5: Solve for x
    x = 84,050,098.67/10,509.63
  6. Step 6: Final answer
    x = 7,997.44

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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.