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Finding the Fourth Proportional to 11,178.42, 15,428.10 and 6,465.42

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Solution

The fourth proportional to 11,178.42, 15,428.10 and 6,465.42 is: 8,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.42 : 15,428.10 = 6,465.42 : x
  2. Step 2: Convert to fraction form
    11,178.42/15,428.10 = 6,465.42/x
  3. Step 3: Cross multiply
    11,178.42x = 15,428.10 × 6,465.42
  4. Step 4: Simplify right side
    11,178.42x = 99,749,146.30
  5. Step 5: Solve for x
    x = 99,749,146.30/11,178.42
  6. Step 6: Final answer
    x = 8,923.37

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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.