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Finding the Fourth Proportional to 10,865.81, 16,289.48 and 10,349.13

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Solution

The fourth proportional to 10,865.81, 16,289.48 and 10,349.13 is: 15,514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.81 : 16,289.48 = 10,349.13 : x
  2. Step 2: Convert to fraction form
    10,865.81/16,289.48 = 10,349.13/x
  3. Step 3: Cross multiply
    10,865.81x = 16,289.48 × 10,349.13
  4. Step 4: Simplify right side
    10,865.81x = 168,581,894.41
  5. Step 5: Solve for x
    x = 168,581,894.41/10,865.81
  6. Step 6: Final answer
    x = 15,514.90

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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.