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Finding the Fourth Proportional to 7,466.59, 11,190.66 and 6,543.94

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Solution

The fourth proportional to 7,466.59, 11,190.66 and 6,543.94 is: 9,807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.59 : 11,190.66 = 6,543.94 : x
  2. Step 2: Convert to fraction form
    7,466.59/11,190.66 = 6,543.94/x
  3. Step 3: Cross multiply
    7,466.59x = 11,190.66 × 6,543.94
  4. Step 4: Simplify right side
    7,466.59x = 73,231,007.60
  5. Step 5: Solve for x
    x = 73,231,007.60/7,466.59
  6. Step 6: Final answer
    x = 9,807.82

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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.