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Finding the Fourth Proportional to 11,428, 17,135.52 and 4,756.80

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Solution

The fourth proportional to 11,428, 17,135.52 and 4,756.80 is: 7,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428 : 17,135.52 = 4,756.80 : x
  2. Step 2: Convert to fraction form
    11,428/17,135.52 = 4,756.80/x
  3. Step 3: Cross multiply
    11,428x = 17,135.52 × 4,756.80
  4. Step 4: Simplify right side
    11,428x = 81,510,241.54
  5. Step 5: Solve for x
    x = 81,510,241.54/11,428
  6. Step 6: Final answer
    x = 7,132.50

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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.