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Finding the Fourth Proportional to 6,167.51, 8,501.16 and 4,820.75

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Solution

The fourth proportional to 6,167.51, 8,501.16 and 4,820.75 is: 6,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.51 : 8,501.16 = 4,820.75 : x
  2. Step 2: Convert to fraction form
    6,167.51/8,501.16 = 4,820.75/x
  3. Step 3: Cross multiply
    6,167.51x = 8,501.16 × 4,820.75
  4. Step 4: Simplify right side
    6,167.51x = 40,981,967.07
  5. Step 5: Solve for x
    x = 40,981,967.07/6,167.51
  6. Step 6: Final answer
    x = 6,644.82

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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.