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Finding the Fourth Proportional to 7,695.88, 11,543.76 and 4,406.64

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Solution

The fourth proportional to 7,695.88, 11,543.76 and 4,406.64 is: 6,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.88 : 11,543.76 = 4,406.64 : x
  2. Step 2: Convert to fraction form
    7,695.88/11,543.76 = 4,406.64/x
  3. Step 3: Cross multiply
    7,695.88x = 11,543.76 × 4,406.64
  4. Step 4: Simplify right side
    7,695.88x = 50,869,194.57
  5. Step 5: Solve for x
    x = 50,869,194.57/7,695.88
  6. Step 6: Final answer
    x = 6,609.93

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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.