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Finding the Fourth Proportional to 7,699.01, 11,537.37 and 4,186.04

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Solution

The fourth proportional to 7,699.01, 11,537.37 and 4,186.04 is: 6,273.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.01 : 11,537.37 = 4,186.04 : x
  2. Step 2: Convert to fraction form
    7,699.01/11,537.37 = 4,186.04/x
  3. Step 3: Cross multiply
    7,699.01x = 11,537.37 × 4,186.04
  4. Step 4: Simplify right side
    7,699.01x = 48,295,834.63
  5. Step 5: Solve for x
    x = 48,295,834.63/7,699.01
  6. Step 6: Final answer
    x = 6,273.00

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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.