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Finding the Fourth Proportional to 10,365.34, 15,549.69 and 4,125.34

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Solution

The fourth proportional to 10,365.34, 15,549.69 and 4,125.34 is: 6,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.34 : 15,549.69 = 4,125.34 : x
  2. Step 2: Convert to fraction form
    10,365.34/15,549.69 = 4,125.34/x
  3. Step 3: Cross multiply
    10,365.34x = 15,549.69 × 4,125.34
  4. Step 4: Simplify right side
    10,365.34x = 64,147,758.14
  5. Step 5: Solve for x
    x = 64,147,758.14/10,365.34
  6. Step 6: Final answer
    x = 6,188.68

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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.