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Finding the Fourth Proportional to 7,152.52, 10,727.47 and 2,991.42

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Solution

The fourth proportional to 7,152.52, 10,727.47 and 2,991.42 is: 4,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.52 : 10,727.47 = 2,991.42 : x
  2. Step 2: Convert to fraction form
    7,152.52/10,727.47 = 2,991.42/x
  3. Step 3: Cross multiply
    7,152.52x = 10,727.47 × 2,991.42
  4. Step 4: Simplify right side
    7,152.52x = 32,090,368.31
  5. Step 5: Solve for x
    x = 32,090,368.31/7,152.52
  6. Step 6: Final answer
    x = 4,486.58

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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.