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Finding the Fourth Proportional to 7,347.41, 11,006.22 and 5,869.16

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Solution

The fourth proportional to 7,347.41, 11,006.22 and 5,869.16 is: 8,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.41 : 11,006.22 = 5,869.16 : x
  2. Step 2: Convert to fraction form
    7,347.41/11,006.22 = 5,869.16/x
  3. Step 3: Cross multiply
    7,347.41x = 11,006.22 × 5,869.16
  4. Step 4: Simplify right side
    7,347.41x = 64,597,266.18
  5. Step 5: Solve for x
    x = 64,597,266.18/7,347.41
  6. Step 6: Final answer
    x = 8,791.84

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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.