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Finding the Fourth Proportional to 8,189.72, 11,301.75 and 4,652.93

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Solution

The fourth proportional to 8,189.72, 11,301.75 and 4,652.93 is: 6,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.72 : 11,301.75 = 4,652.93 : x
  2. Step 2: Convert to fraction form
    8,189.72/11,301.75 = 4,652.93/x
  3. Step 3: Cross multiply
    8,189.72x = 11,301.75 × 4,652.93
  4. Step 4: Simplify right side
    8,189.72x = 52,586,195.12
  5. Step 5: Solve for x
    x = 52,586,195.12/8,189.72
  6. Step 6: Final answer
    x = 6,421.00

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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.