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Finding the Fourth Proportional to 7,008.66, 9,668.75 and 4,652.37

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Solution

The fourth proportional to 7,008.66, 9,668.75 and 4,652.37 is: 6,418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.66 : 9,668.75 = 4,652.37 : x
  2. Step 2: Convert to fraction form
    7,008.66/9,668.75 = 4,652.37/x
  3. Step 3: Cross multiply
    7,008.66x = 9,668.75 × 4,652.37
  4. Step 4: Simplify right side
    7,008.66x = 44,982,565.72
  5. Step 5: Solve for x
    x = 44,982,565.72/7,008.66
  6. Step 6: Final answer
    x = 6,418.15

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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.