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Finding the Fourth Proportional to 10,519.20, 14,518.08 and 6,328.32

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Solution

The fourth proportional to 10,519.20, 14,518.08 and 6,328.32 is: 8,734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.20 : 14,518.08 = 6,328.32 : x
  2. Step 2: Convert to fraction form
    10,519.20/14,518.08 = 6,328.32/x
  3. Step 3: Cross multiply
    10,519.20x = 14,518.08 × 6,328.32
  4. Step 4: Simplify right side
    10,519.20x = 91,875,056.03
  5. Step 5: Solve for x
    x = 91,875,056.03/10,519.20
  6. Step 6: Final answer
    x = 8,734.03

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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.