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Finding the Fourth Proportional to 10,551.64, 14,560.50 and 5,836

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Solution

The fourth proportional to 10,551.64, 14,560.50 and 5,836 is: 8,053.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.64 : 14,560.50 = 5,836 : x
  2. Step 2: Convert to fraction form
    10,551.64/14,560.50 = 5,836/x
  3. Step 3: Cross multiply
    10,551.64x = 14,560.50 × 5,836
  4. Step 4: Simplify right side
    10,551.64x = 84,975,078
  5. Step 5: Solve for x
    x = 84,975,078/10,551.64
  6. Step 6: Final answer
    x = 8,053.26

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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.