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Finding the Fourth Proportional to 10,301.63, 15,446.97 and 4,752.11

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Solution

The fourth proportional to 10,301.63, 15,446.97 and 4,752.11 is: 7,125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.63 : 15,446.97 = 4,752.11 : x
  2. Step 2: Convert to fraction form
    10,301.63/15,446.97 = 4,752.11/x
  3. Step 3: Cross multiply
    10,301.63x = 15,446.97 × 4,752.11
  4. Step 4: Simplify right side
    10,301.63x = 73,405,739.22
  5. Step 5: Solve for x
    x = 73,405,739.22/10,301.63
  6. Step 6: Final answer
    x = 7,125.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.