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Finding the Fourth Proportional to 10,389.42, 15,586.02 and 3,814.92

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Solution

The fourth proportional to 10,389.42, 15,586.02 and 3,814.92 is: 5,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.42 : 15,586.02 = 3,814.92 : x
  2. Step 2: Convert to fraction form
    10,389.42/15,586.02 = 3,814.92/x
  3. Step 3: Cross multiply
    10,389.42x = 15,586.02 × 3,814.92
  4. Step 4: Simplify right side
    10,389.42x = 59,459,419.42
  5. Step 5: Solve for x
    x = 59,459,419.42/10,389.42
  6. Step 6: Final answer
    x = 5,723.07

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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.