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Finding the Fourth Proportional to 7,406.61, 11,055.86 and 6,472.41

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Solution

The fourth proportional to 7,406.61, 11,055.86 and 6,472.41 is: 9,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.61 : 11,055.86 = 6,472.41 : x
  2. Step 2: Convert to fraction form
    7,406.61/11,055.86 = 6,472.41/x
  3. Step 3: Cross multiply
    7,406.61x = 11,055.86 × 6,472.41
  4. Step 4: Simplify right side
    7,406.61x = 71,558,026.46
  5. Step 5: Solve for x
    x = 71,558,026.46/7,406.61
  6. Step 6: Final answer
    x = 9,661.37

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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.