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Finding the Fourth Proportional to 7,617.65, 10,514.31 and 4,635.58

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Solution

The fourth proportional to 7,617.65, 10,514.31 and 4,635.58 is: 6,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.65 : 10,514.31 = 4,635.58 : x
  2. Step 2: Convert to fraction form
    7,617.65/10,514.31 = 4,635.58/x
  3. Step 3: Cross multiply
    7,617.65x = 10,514.31 × 4,635.58
  4. Step 4: Simplify right side
    7,617.65x = 48,739,901.19
  5. Step 5: Solve for x
    x = 48,739,901.19/7,617.65
  6. Step 6: Final answer
    x = 6,398.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.