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Finding the Fourth Proportional to 7,866.84, 11,804.40 and 3,487.32

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Solution

The fourth proportional to 7,866.84, 11,804.40 and 3,487.32 is: 5,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.84 : 11,804.40 = 3,487.32 : x
  2. Step 2: Convert to fraction form
    7,866.84/11,804.40 = 3,487.32/x
  3. Step 3: Cross multiply
    7,866.84x = 11,804.40 × 3,487.32
  4. Step 4: Simplify right side
    7,866.84x = 41,165,720.21
  5. Step 5: Solve for x
    x = 41,165,720.21/7,866.84
  6. Step 6: Final answer
    x = 5,232.82

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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.