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Finding the Fourth Proportional to 7,771.41, 11,657.04 and 4,652.30

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Solution

The fourth proportional to 7,771.41, 11,657.04 and 4,652.30 is: 6,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.41 : 11,657.04 = 4,652.30 : x
  2. Step 2: Convert to fraction form
    7,771.41/11,657.04 = 4,652.30/x
  3. Step 3: Cross multiply
    7,771.41x = 11,657.04 × 4,652.30
  4. Step 4: Simplify right side
    7,771.41x = 54,231,988.91
  5. Step 5: Solve for x
    x = 54,231,988.91/7,771.41
  6. Step 6: Final answer
    x = 6,978.40

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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.