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Finding the Fourth Proportional to 7,541.98, 10,408.50 and 4,184.76

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Solution

The fourth proportional to 7,541.98, 10,408.50 and 4,184.76 is: 5,775.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.98 : 10,408.50 = 4,184.76 : x
  2. Step 2: Convert to fraction form
    7,541.98/10,408.50 = 4,184.76/x
  3. Step 3: Cross multiply
    7,541.98x = 10,408.50 × 4,184.76
  4. Step 4: Simplify right side
    7,541.98x = 43,557,113.49
  5. Step 5: Solve for x
    x = 43,557,113.49/7,541.98
  6. Step 6: Final answer
    x = 5,775.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.