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Finding the Fourth Proportional to 10,153.86, 15,216.86 and 5,713.67

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Solution

The fourth proportional to 10,153.86, 15,216.86 and 5,713.67 is: 8,562.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.86 : 15,216.86 = 5,713.67 : x
  2. Step 2: Convert to fraction form
    10,153.86/15,216.86 = 5,713.67/x
  3. Step 3: Cross multiply
    10,153.86x = 15,216.86 × 5,713.67
  4. Step 4: Simplify right side
    10,153.86x = 86,944,168.80
  5. Step 5: Solve for x
    x = 86,944,168.80/10,153.86
  6. Step 6: Final answer
    x = 8,562.67

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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.