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Finding the Fourth Proportional to 7,347.09, 10,141.49 and 4,514.58

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Solution

The fourth proportional to 7,347.09, 10,141.49 and 4,514.58 is: 6,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.09 : 10,141.49 = 4,514.58 : x
  2. Step 2: Convert to fraction form
    7,347.09/10,141.49 = 4,514.58/x
  3. Step 3: Cross multiply
    7,347.09x = 10,141.49 × 4,514.58
  4. Step 4: Simplify right side
    7,347.09x = 45,784,579.21
  5. Step 5: Solve for x
    x = 45,784,579.21/7,347.09
  6. Step 6: Final answer
    x = 6,231.66

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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.