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Finding the Fourth Proportional to 7,551.40, 11,385 and 7,043.20

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Solution

The fourth proportional to 7,551.40, 11,385 and 7,043.20 is: 10,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.40 : 11,385 = 7,043.20 : x
  2. Step 2: Convert to fraction form
    7,551.40/11,385 = 7,043.20/x
  3. Step 3: Cross multiply
    7,551.40x = 11,385 × 7,043.20
  4. Step 4: Simplify right side
    7,551.40x = 80,186,832
  5. Step 5: Solve for x
    x = 80,186,832/7,551.40
  6. Step 6: Final answer
    x = 10,618.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.