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Finding the Fourth Proportional to 10,323.75, 14,250.24 and 6,074.67

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Solution

The fourth proportional to 10,323.75, 14,250.24 and 6,074.67 is: 8,385.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.75 : 14,250.24 = 6,074.67 : x
  2. Step 2: Convert to fraction form
    10,323.75/14,250.24 = 6,074.67/x
  3. Step 3: Cross multiply
    10,323.75x = 14,250.24 × 6,074.67
  4. Step 4: Simplify right side
    10,323.75x = 86,565,505.42
  5. Step 5: Solve for x
    x = 86,565,505.42/10,323.75
  6. Step 6: Final answer
    x = 8,385.08

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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.