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Finding the Fourth Proportional to 10,476.57, 14,457.91 and 5,760.85

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Solution

The fourth proportional to 10,476.57, 14,457.91 and 5,760.85 is: 7,950.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.57 : 14,457.91 = 5,760.85 : x
  2. Step 2: Convert to fraction form
    10,476.57/14,457.91 = 5,760.85/x
  3. Step 3: Cross multiply
    10,476.57x = 14,457.91 × 5,760.85
  4. Step 4: Simplify right side
    10,476.57x = 83,289,850.82
  5. Step 5: Solve for x
    x = 83,289,850.82/10,476.57
  6. Step 6: Final answer
    x = 7,950.11

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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.