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Finding the Fourth Proportional to 10,762.32, 16,143.40 and 2,971.13

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Solution

The fourth proportional to 10,762.32, 16,143.40 and 2,971.13 is: 4,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.32 : 16,143.40 = 2,971.13 : x
  2. Step 2: Convert to fraction form
    10,762.32/16,143.40 = 2,971.13/x
  3. Step 3: Cross multiply
    10,762.32x = 16,143.40 × 2,971.13
  4. Step 4: Simplify right side
    10,762.32x = 47,964,153.85
  5. Step 5: Solve for x
    x = 47,964,153.85/10,762.32
  6. Step 6: Final answer
    x = 4,456.67

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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.