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Finding the Fourth Proportional to 6,159.14, 8,500.60 and 4,842.84

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Solution

The fourth proportional to 6,159.14, 8,500.60 and 4,842.84 is: 6,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.14 : 8,500.60 = 4,842.84 : x
  2. Step 2: Convert to fraction form
    6,159.14/8,500.60 = 4,842.84/x
  3. Step 3: Cross multiply
    6,159.14x = 8,500.60 × 4,842.84
  4. Step 4: Simplify right side
    6,159.14x = 41,167,008.58
  5. Step 5: Solve for x
    x = 41,167,008.58/6,159.14
  6. Step 6: Final answer
    x = 6,683.89

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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.