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Finding the Fourth Proportional to 10,170.07, 14,034 and 5,632.42

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Solution

The fourth proportional to 10,170.07, 14,034 and 5,632.42 is: 7,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.07 : 14,034 = 5,632.42 : x
  2. Step 2: Convert to fraction form
    10,170.07/14,034 = 5,632.42/x
  3. Step 3: Cross multiply
    10,170.07x = 14,034 × 5,632.42
  4. Step 4: Simplify right side
    10,170.07x = 79,045,382.28
  5. Step 5: Solve for x
    x = 79,045,382.28/10,170.07
  6. Step 6: Final answer
    x = 7,772.35

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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.