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Finding the Fourth Proportional to 8,429.68, 11,636.76 and 6,187.60

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Solution

The fourth proportional to 8,429.68, 11,636.76 and 6,187.60 is: 8,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.68 : 11,636.76 = 6,187.60 : x
  2. Step 2: Convert to fraction form
    8,429.68/11,636.76 = 6,187.60/x
  3. Step 3: Cross multiply
    8,429.68x = 11,636.76 × 6,187.60
  4. Step 4: Simplify right side
    8,429.68x = 72,003,616.18
  5. Step 5: Solve for x
    x = 72,003,616.18/8,429.68
  6. Step 6: Final answer
    x = 8,541.68

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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.