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Finding the Fourth Proportional to 7,406.86, 11,056.23 and 6,472.66

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Solution

The fourth proportional to 7,406.86, 11,056.23 and 6,472.66 is: 9,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.86 : 11,056.23 = 6,472.66 : x
  2. Step 2: Convert to fraction form
    7,406.86/11,056.23 = 6,472.66/x
  3. Step 3: Cross multiply
    7,406.86x = 11,056.23 × 6,472.66
  4. Step 4: Simplify right side
    7,406.86x = 71,563,217.67
  5. Step 5: Solve for x
    x = 71,563,217.67/7,406.86
  6. Step 6: Final answer
    x = 9,661.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.