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Finding the Fourth Proportional to 7,983.69, 11,975.01 and 2,985.09

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Solution

The fourth proportional to 7,983.69, 11,975.01 and 2,985.09 is: 4,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.69 : 11,975.01 = 2,985.09 : x
  2. Step 2: Convert to fraction form
    7,983.69/11,975.01 = 2,985.09/x
  3. Step 3: Cross multiply
    7,983.69x = 11,975.01 × 2,985.09
  4. Step 4: Simplify right side
    7,983.69x = 35,746,482.60
  5. Step 5: Solve for x
    x = 35,746,482.60/7,983.69
  6. Step 6: Final answer
    x = 4,477.44

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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.