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Finding the Fourth Proportional to 10,859.40, 16,289.10 and 10,211.40

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Solution

The fourth proportional to 10,859.40, 16,289.10 and 10,211.40 is: 15,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.40 : 16,289.10 = 10,211.40 : x
  2. Step 2: Convert to fraction form
    10,859.40/16,289.10 = 10,211.40/x
  3. Step 3: Cross multiply
    10,859.40x = 16,289.10 × 10,211.40
  4. Step 4: Simplify right side
    10,859.40x = 166,334,515.74
  5. Step 5: Solve for x
    x = 166,334,515.74/10,859.40
  6. Step 6: Final answer
    x = 15,317.10

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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.