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Finding the Fourth Proportional to 10,907.64, 15,052.53 and 5,939.64

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Solution

The fourth proportional to 10,907.64, 15,052.53 and 5,939.64 is: 8,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.64 : 15,052.53 = 5,939.64 : x
  2. Step 2: Convert to fraction form
    10,907.64/15,052.53 = 5,939.64/x
  3. Step 3: Cross multiply
    10,907.64x = 15,052.53 × 5,939.64
  4. Step 4: Simplify right side
    10,907.64x = 89,406,609.29
  5. Step 5: Solve for x
    x = 89,406,609.29/10,907.64
  6. Step 6: Final answer
    x = 8,196.70

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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.