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Finding the Fourth Proportional to 7,528.28, 10,389 and 4,216.28

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Solution

The fourth proportional to 7,528.28, 10,389 and 4,216.28 is: 5,818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,528.28 : 10,389 = 4,216.28 : x
  2. Step 2: Convert to fraction form
    7,528.28/10,389 = 4,216.28/x
  3. Step 3: Cross multiply
    7,528.28x = 10,389 × 4,216.28
  4. Step 4: Simplify right side
    7,528.28x = 43,802,932.92
  5. Step 5: Solve for x
    x = 43,802,932.92/7,528.28
  6. Step 6: Final answer
    x = 5,818.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.