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Finding the Fourth Proportional to 11,019.86, 15,204.45 and 6,544.58

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Solution

The fourth proportional to 11,019.86, 15,204.45 and 6,544.58 is: 9,029.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,019.86 : 15,204.45 = 6,544.58 : x
  2. Step 2: Convert to fraction form
    11,019.86/15,204.45 = 6,544.58/x
  3. Step 3: Cross multiply
    11,019.86x = 15,204.45 × 6,544.58
  4. Step 4: Simplify right side
    11,019.86x = 99,506,739.38
  5. Step 5: Solve for x
    x = 99,506,739.38/11,019.86
  6. Step 6: Final answer
    x = 9,029.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.