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Finding the Fourth Proportional to 11,780.28, 17,657.46 and 7,875

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Solution

The fourth proportional to 11,780.28, 17,657.46 and 7,875 is: 11,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.28 : 17,657.46 = 7,875 : x
  2. Step 2: Convert to fraction form
    11,780.28/17,657.46 = 7,875/x
  3. Step 3: Cross multiply
    11,780.28x = 17,657.46 × 7,875
  4. Step 4: Simplify right side
    11,780.28x = 139,052,497.50
  5. Step 5: Solve for x
    x = 139,052,497.50/11,780.28
  6. Step 6: Final answer
    x = 11,803.84

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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.