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Finding the Fourth Proportional to 7,985.96, 11,976.02 and 3,053.16

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Solution

The fourth proportional to 7,985.96, 11,976.02 and 3,053.16 is: 4,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.96 : 11,976.02 = 3,053.16 : x
  2. Step 2: Convert to fraction form
    7,985.96/11,976.02 = 3,053.16/x
  3. Step 3: Cross multiply
    7,985.96x = 11,976.02 × 3,053.16
  4. Step 4: Simplify right side
    7,985.96x = 36,564,705.22
  5. Step 5: Solve for x
    x = 36,564,705.22/7,985.96
  6. Step 6: Final answer
    x = 4,578.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.