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Finding the Fourth Proportional to 10,095.54, 13,932.35 and 5,619.38

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Solution

The fourth proportional to 10,095.54, 13,932.35 and 5,619.38 is: 7,755.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.54 : 13,932.35 = 5,619.38 : x
  2. Step 2: Convert to fraction form
    10,095.54/13,932.35 = 5,619.38/x
  3. Step 3: Cross multiply
    10,095.54x = 13,932.35 × 5,619.38
  4. Step 4: Simplify right side
    10,095.54x = 78,291,123.87
  5. Step 5: Solve for x
    x = 78,291,123.87/10,095.54
  6. Step 6: Final answer
    x = 7,755.02

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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.