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Finding the Fourth Proportional to 6,160.71, 8,495.04 and 4,167.84

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Solution

The fourth proportional to 6,160.71, 8,495.04 and 4,167.84 is: 5,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.71 : 8,495.04 = 4,167.84 : x
  2. Step 2: Convert to fraction form
    6,160.71/8,495.04 = 4,167.84/x
  3. Step 3: Cross multiply
    6,160.71x = 8,495.04 × 4,167.84
  4. Step 4: Simplify right side
    6,160.71x = 35,405,967.51
  5. Step 5: Solve for x
    x = 35,405,967.51/6,160.71
  6. Step 6: Final answer
    x = 5,747.06

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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.