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Finding the Fourth Proportional to 11,582.03, 17,362.78 and 5,655.65

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Solution

The fourth proportional to 11,582.03, 17,362.78 and 5,655.65 is: 8,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582.03 : 17,362.78 = 5,655.65 : x
  2. Step 2: Convert to fraction form
    11,582.03/17,362.78 = 5,655.65/x
  3. Step 3: Cross multiply
    11,582.03x = 17,362.78 × 5,655.65
  4. Step 4: Simplify right side
    11,582.03x = 98,197,705.75
  5. Step 5: Solve for x
    x = 98,197,705.75/11,582.03
  6. Step 6: Final answer
    x = 8,478.45

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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.