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Finding the Fourth Proportional to 7,652.90, 10,561.17 and 4,668.38

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Solution

The fourth proportional to 7,652.90, 10,561.17 and 4,668.38 is: 6,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.90 : 10,561.17 = 4,668.38 : x
  2. Step 2: Convert to fraction form
    7,652.90/10,561.17 = 4,668.38/x
  3. Step 3: Cross multiply
    7,652.90x = 10,561.17 × 4,668.38
  4. Step 4: Simplify right side
    7,652.90x = 49,303,554.80
  5. Step 5: Solve for x
    x = 49,303,554.80/7,652.90
  6. Step 6: Final answer
    x = 6,442.47

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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.