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Finding the Fourth Proportional to 7,132.57, 10,703.45 and 3,847.93

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Solution

The fourth proportional to 7,132.57, 10,703.45 and 3,847.93 is: 5,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.57 : 10,703.45 = 3,847.93 : x
  2. Step 2: Convert to fraction form
    7,132.57/10,703.45 = 3,847.93/x
  3. Step 3: Cross multiply
    7,132.57x = 10,703.45 × 3,847.93
  4. Step 4: Simplify right side
    7,132.57x = 41,186,126.36
  5. Step 5: Solve for x
    x = 41,186,126.36/7,132.57
  6. Step 6: Final answer
    x = 5,774.37

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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.