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Finding the Fourth Proportional to 10,553.66, 14,563.53 and 5,773.85

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Solution

The fourth proportional to 10,553.66, 14,563.53 and 5,773.85 is: 7,967.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.66 : 14,563.53 = 5,773.85 : x
  2. Step 2: Convert to fraction form
    10,553.66/14,563.53 = 5,773.85/x
  3. Step 3: Cross multiply
    10,553.66x = 14,563.53 × 5,773.85
  4. Step 4: Simplify right side
    10,553.66x = 84,087,637.69
  5. Step 5: Solve for x
    x = 84,087,637.69/10,553.66
  6. Step 6: Final answer
    x = 7,967.63

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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.