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Finding the Fourth Proportional to 10,552, 14,560.50 and 5,835.64

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Solution

The fourth proportional to 10,552, 14,560.50 and 5,835.64 is: 8,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552 : 14,560.50 = 5,835.64 : x
  2. Step 2: Convert to fraction form
    10,552/14,560.50 = 5,835.64/x
  3. Step 3: Cross multiply
    10,552x = 14,560.50 × 5,835.64
  4. Step 4: Simplify right side
    10,552x = 84,969,836.22
  5. Step 5: Solve for x
    x = 84,969,836.22/10,552
  6. Step 6: Final answer
    x = 8,052.49

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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.