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Finding the Fourth Proportional to 6,160.96, 8,506.06 and 3,804.47

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Solution

The fourth proportional to 6,160.96, 8,506.06 and 3,804.47 is: 5,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.96 : 8,506.06 = 3,804.47 : x
  2. Step 2: Convert to fraction form
    6,160.96/8,506.06 = 3,804.47/x
  3. Step 3: Cross multiply
    6,160.96x = 8,506.06 × 3,804.47
  4. Step 4: Simplify right side
    6,160.96x = 32,361,051.34
  5. Step 5: Solve for x
    x = 32,361,051.34/6,160.96
  6. Step 6: Final answer
    x = 5,252.60

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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.