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Finding the Fourth Proportional to 10,323.80, 14,250.20 and 6,074.63

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Solution

The fourth proportional to 10,323.80, 14,250.20 and 6,074.63 is: 8,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.80 : 14,250.20 = 6,074.63 : x
  2. Step 2: Convert to fraction form
    10,323.80/14,250.20 = 6,074.63/x
  3. Step 3: Cross multiply
    10,323.80x = 14,250.20 × 6,074.63
  4. Step 4: Simplify right side
    10,323.80x = 86,564,590.80
  5. Step 5: Solve for x
    x = 86,564,590.80/10,323.80
  6. Step 6: Final answer
    x = 8,384.96

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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.