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Finding the Fourth Proportional to 6,892.80, 10,323.04 and 5,039.24

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Solution

The fourth proportional to 6,892.80, 10,323.04 and 5,039.24 is: 7,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.80 : 10,323.04 = 5,039.24 : x
  2. Step 2: Convert to fraction form
    6,892.80/10,323.04 = 5,039.24/x
  3. Step 3: Cross multiply
    6,892.80x = 10,323.04 × 5,039.24
  4. Step 4: Simplify right side
    6,892.80x = 52,020,276.09
  5. Step 5: Solve for x
    x = 52,020,276.09/6,892.80
  6. Step 6: Final answer
    x = 7,547.05

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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.