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Finding the Fourth Proportional to 10,658.34, 15,994.62 and 3,732.84

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Solution

The fourth proportional to 10,658.34, 15,994.62 and 3,732.84 is: 5,601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.34 : 15,994.62 = 3,732.84 : x
  2. Step 2: Convert to fraction form
    10,658.34/15,994.62 = 3,732.84/x
  3. Step 3: Cross multiply
    10,658.34x = 15,994.62 × 3,732.84
  4. Step 4: Simplify right side
    10,658.34x = 59,705,357.32
  5. Step 5: Solve for x
    x = 59,705,357.32/10,658.34
  6. Step 6: Final answer
    x = 5,601.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.