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Finding the Fourth Proportional to 7,852.41, 11,780.64 and 2,305.94

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Solution

The fourth proportional to 7,852.41, 11,780.64 and 2,305.94 is: 3,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.41 : 11,780.64 = 2,305.94 : x
  2. Step 2: Convert to fraction form
    7,852.41/11,780.64 = 2,305.94/x
  3. Step 3: Cross multiply
    7,852.41x = 11,780.64 × 2,305.94
  4. Step 4: Simplify right side
    7,852.41x = 27,165,390.10
  5. Step 5: Solve for x
    x = 27,165,390.10/7,852.41
  6. Step 6: Final answer
    x = 3,459.50

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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.