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Finding the Fourth Proportional to 10,405.76, 15,614.30 and 3,830.99

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Solution

The fourth proportional to 10,405.76, 15,614.30 and 3,830.99 is: 5,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.76 : 15,614.30 = 3,830.99 : x
  2. Step 2: Convert to fraction form
    10,405.76/15,614.30 = 3,830.99/x
  3. Step 3: Cross multiply
    10,405.76x = 15,614.30 × 3,830.99
  4. Step 4: Simplify right side
    10,405.76x = 59,818,129.93
  5. Step 5: Solve for x
    x = 59,818,129.93/10,405.76
  6. Step 6: Final answer
    x = 5,748.56

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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.