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Finding the Fourth Proportional to 10,528.80, 15,764.42 and 6,821.88

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Solution

The fourth proportional to 10,528.80, 15,764.42 and 6,821.88 is: 10,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528.80 : 15,764.42 = 6,821.88 : x
  2. Step 2: Convert to fraction form
    10,528.80/15,764.42 = 6,821.88/x
  3. Step 3: Cross multiply
    10,528.80x = 15,764.42 × 6,821.88
  4. Step 4: Simplify right side
    10,528.80x = 107,542,981.51
  5. Step 5: Solve for x
    x = 107,542,981.51/10,528.80
  6. Step 6: Final answer
    x = 10,214.17

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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.