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Finding the Fourth Proportional to 8,905.92, 12,288.60 and 6,075.60

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Solution

The fourth proportional to 8,905.92, 12,288.60 and 6,075.60 is: 8,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,905.92 : 12,288.60 = 6,075.60 : x
  2. Step 2: Convert to fraction form
    8,905.92/12,288.60 = 6,075.60/x
  3. Step 3: Cross multiply
    8,905.92x = 12,288.60 × 6,075.60
  4. Step 4: Simplify right side
    8,905.92x = 74,660,618.16
  5. Step 5: Solve for x
    x = 74,660,618.16/8,905.92
  6. Step 6: Final answer
    x = 8,383.26

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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.