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Finding the Fourth Proportional to 11,907.14, 16,432.67 and 6,602.45

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Solution

The fourth proportional to 11,907.14, 16,432.67 and 6,602.45 is: 9,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.14 : 16,432.67 = 6,602.45 : x
  2. Step 2: Convert to fraction form
    11,907.14/16,432.67 = 6,602.45/x
  3. Step 3: Cross multiply
    11,907.14x = 16,432.67 × 6,602.45
  4. Step 4: Simplify right side
    11,907.14x = 108,495,816.38
  5. Step 5: Solve for x
    x = 108,495,816.38/11,907.14
  6. Step 6: Final answer
    x = 9,111.83

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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.