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Finding the Fourth Proportional to 11,354.15, 15,669.18 and 6,875.38

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Solution

The fourth proportional to 11,354.15, 15,669.18 and 6,875.38 is: 9,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.15 : 15,669.18 = 6,875.38 : x
  2. Step 2: Convert to fraction form
    11,354.15/15,669.18 = 6,875.38/x
  3. Step 3: Cross multiply
    11,354.15x = 15,669.18 × 6,875.38
  4. Step 4: Simplify right side
    11,354.15x = 107,731,488.44
  5. Step 5: Solve for x
    x = 107,731,488.44/11,354.15
  6. Step 6: Final answer
    x = 9,488.29

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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.