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Finding the Fourth Proportional to 12,592.05, 17,377.62 and 7,285.84

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Solution

The fourth proportional to 12,592.05, 17,377.62 and 7,285.84 is: 10,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.05 : 17,377.62 = 7,285.84 : x
  2. Step 2: Convert to fraction form
    12,592.05/17,377.62 = 7,285.84/x
  3. Step 3: Cross multiply
    12,592.05x = 17,377.62 × 7,285.84
  4. Step 4: Simplify right side
    12,592.05x = 126,610,602.34
  5. Step 5: Solve for x
    x = 126,610,602.34/12,592.05
  6. Step 6: Final answer
    x = 10,054.80

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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.