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Finding the Fourth Proportional to 11,362.65, 17,041.32 and 4,340.09

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Solution

The fourth proportional to 11,362.65, 17,041.32 and 4,340.09 is: 6,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.65 : 17,041.32 = 4,340.09 : x
  2. Step 2: Convert to fraction form
    11,362.65/17,041.32 = 4,340.09/x
  3. Step 3: Cross multiply
    11,362.65x = 17,041.32 × 4,340.09
  4. Step 4: Simplify right side
    11,362.65x = 73,960,777.31
  5. Step 5: Solve for x
    x = 73,960,777.31/11,362.65
  6. Step 6: Final answer
    x = 6,509.11

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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.