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Finding the Fourth Proportional to 10,314, 14,233.32 and 5,598.32

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Solution

The fourth proportional to 10,314, 14,233.32 and 5,598.32 is: 7,725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314 : 14,233.32 = 5,598.32 : x
  2. Step 2: Convert to fraction form
    10,314/14,233.32 = 5,598.32/x
  3. Step 3: Cross multiply
    10,314x = 14,233.32 × 5,598.32
  4. Step 4: Simplify right side
    10,314x = 79,682,608.86
  5. Step 5: Solve for x
    x = 79,682,608.86/10,314
  6. Step 6: Final answer
    x = 7,725.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.