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Finding the Fourth Proportional to 10,034.13, 13,851.67 and 7,165.01

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Solution

The fourth proportional to 10,034.13, 13,851.67 and 7,165.01 is: 9,890.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.13 : 13,851.67 = 7,165.01 : x
  2. Step 2: Convert to fraction form
    10,034.13/13,851.67 = 7,165.01/x
  3. Step 3: Cross multiply
    10,034.13x = 13,851.67 × 7,165.01
  4. Step 4: Simplify right side
    10,034.13x = 99,247,370.78
  5. Step 5: Solve for x
    x = 99,247,370.78/10,034.13
  6. Step 6: Final answer
    x = 9,890.98

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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.