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Finding the Fourth Proportional to 11,352.38, 15,666.35 and 6,384.38

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Solution

The fourth proportional to 11,352.38, 15,666.35 and 6,384.38 is: 8,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352.38 : 15,666.35 = 6,384.38 : x
  2. Step 2: Convert to fraction form
    11,352.38/15,666.35 = 6,384.38/x
  3. Step 3: Cross multiply
    11,352.38x = 15,666.35 × 6,384.38
  4. Step 4: Simplify right side
    11,352.38x = 100,019,821.36
  5. Step 5: Solve for x
    x = 100,019,821.36/11,352.38
  6. Step 6: Final answer
    x = 8,810.48

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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.