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Finding the Fourth Proportional to 10,552.98, 14,562.36 and 5,836.89

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Solution

The fourth proportional to 10,552.98, 14,562.36 and 5,836.89 is: 8,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.98 : 14,562.36 = 5,836.89 : x
  2. Step 2: Convert to fraction form
    10,552.98/14,562.36 = 5,836.89/x
  3. Step 3: Cross multiply
    10,552.98x = 14,562.36 × 5,836.89
  4. Step 4: Simplify right side
    10,552.98x = 84,998,893.46
  5. Step 5: Solve for x
    x = 84,998,893.46/10,552.98
  6. Step 6: Final answer
    x = 8,054.49

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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.