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Finding the Fourth Proportional to 7,259.52, 10,891 and 2,065.28

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Solution

The fourth proportional to 7,259.52, 10,891 and 2,065.28 is: 3,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.52 : 10,891 = 2,065.28 : x
  2. Step 2: Convert to fraction form
    7,259.52/10,891 = 2,065.28/x
  3. Step 3: Cross multiply
    7,259.52x = 10,891 × 2,065.28
  4. Step 4: Simplify right side
    7,259.52x = 22,492,964.48
  5. Step 5: Solve for x
    x = 22,492,964.48/7,259.52
  6. Step 6: Final answer
    x = 3,098.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.