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Finding the Fourth Proportional to 7,405.38, 11,098.49 and 5,541.87

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Solution

The fourth proportional to 7,405.38, 11,098.49 and 5,541.87 is: 8,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.38 : 11,098.49 = 5,541.87 : x
  2. Step 2: Convert to fraction form
    7,405.38/11,098.49 = 5,541.87/x
  3. Step 3: Cross multiply
    7,405.38x = 11,098.49 × 5,541.87
  4. Step 4: Simplify right side
    7,405.38x = 61,506,402.63
  5. Step 5: Solve for x
    x = 61,506,402.63/7,405.38
  6. Step 6: Final answer
    x = 8,305.64

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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.