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Finding the Fourth Proportional to 7,735.56, 11,583.90 and 5,543.16

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Solution

The fourth proportional to 7,735.56, 11,583.90 and 5,543.16 is: 8,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.56 : 11,583.90 = 5,543.16 : x
  2. Step 2: Convert to fraction form
    7,735.56/11,583.90 = 5,543.16/x
  3. Step 3: Cross multiply
    7,735.56x = 11,583.90 × 5,543.16
  4. Step 4: Simplify right side
    7,735.56x = 64,211,411.12
  5. Step 5: Solve for x
    x = 64,211,411.12/7,735.56
  6. Step 6: Final answer
    x = 8,300.81

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Why These Related Problems?

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